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Finding the Third Proportional to 294,235,466 and 635,277,428

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Solution

The third proportional to 294,235,466 and 635,277,428 is: 1,371,613,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,235,466 : 635,277,428 = 635,277,428 : x
  2. Step 2: Convert to fraction form
    294,235,466/635,277,428 = 635,277,428/x
  3. Step 3: Cross multiply
    294,235,466x = 635,277,428 × 635,277,428
  4. Step 4: Simplify right side
    294,235,466x = 403,577,410,526,295,168
  5. Step 5: Solve for x
    x = 403,577,410,526,295,168/294,235,466
  6. Step 6: Final answer
    x = 1,371,613,748.72

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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.