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Finding the Third Proportional to 294,436 and 635,528

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Solution

The third proportional to 294,436 and 635,528 is: 1,371,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,436 : 635,528 = 635,528 : x
  2. Step 2: Convert to fraction form
    294,436/635,528 = 635,528/x
  3. Step 3: Cross multiply
    294,436x = 635,528 × 635,528
  4. Step 4: Simplify right side
    294,436x = 403,895,838,784
  5. Step 5: Solve for x
    x = 403,895,838,784/294,436
  6. Step 6: Final answer
    x = 1,371,761.06

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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.