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Finding the Third Proportional to 564,498 and 802,395

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Solution

The third proportional to 564,498 and 802,395 is: 1,140,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,498 : 802,395 = 802,395 : x
  2. Step 2: Convert to fraction form
    564,498/802,395 = 802,395/x
  3. Step 3: Cross multiply
    564,498x = 802,395 × 802,395
  4. Step 4: Simplify right side
    564,498x = 643,837,736,025
  5. Step 5: Solve for x
    x = 643,837,736,025/564,498
  6. Step 6: Final answer
    x = 1,140,549.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.