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Finding the Third Proportional to 294,235,398.75 and 635,277,283.50

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Solution

The third proportional to 294,235,398.75 and 635,277,283.50 is: 1,371,613,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,235,398.75 : 635,277,283.50 = 635,277,283.50 : x
  2. Step 2: Convert to fraction form
    294,235,398.75/635,277,283.50 = 635,277,283.50/x
  3. Step 3: Cross multiply
    294,235,398.75x = 635,277,283.50 × 635,277,283.50
  4. Step 4: Simplify right side
    294,235,398.75x = 403,577,226,931,139,392
  5. Step 5: Solve for x
    x = 403,577,226,931,139,392/294,235,398.75
  6. Step 6: Final answer
    x = 1,371,613,438.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.