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Finding the Third Proportional to 564,496 and 802,392

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Solution

The third proportional to 564,496 and 802,392 is: 1,140,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,496 : 802,392 = 802,392 : x
  2. Step 2: Convert to fraction form
    564,496/802,392 = 802,392/x
  3. Step 3: Cross multiply
    564,496x = 802,392 × 802,392
  4. Step 4: Simplify right side
    564,496x = 643,832,921,664
  5. Step 5: Solve for x
    x = 643,832,921,664/564,496
  6. Step 6: Final answer
    x = 1,140,544.70

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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.