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Finding the Third Proportional to 294,534 and 635,399

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Solution

The third proportional to 294,534 and 635,399 is: 1,370,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,534 : 635,399 = 635,399 : x
  2. Step 2: Convert to fraction form
    294,534/635,399 = 635,399/x
  3. Step 3: Cross multiply
    294,534x = 635,399 × 635,399
  4. Step 4: Simplify right side
    294,534x = 403,731,889,201
  5. Step 5: Solve for x
    x = 403,731,889,201/294,534
  6. Step 6: Final answer
    x = 1,370,747.99

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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.