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Finding the Third Proportional to 402,693 and 563,285

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Solution

The third proportional to 402,693 and 563,285 is: 787,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,693 : 563,285 = 563,285 : x
  2. Step 2: Convert to fraction form
    402,693/563,285 = 563,285/x
  3. Step 3: Cross multiply
    402,693x = 563,285 × 563,285
  4. Step 4: Simplify right side
    402,693x = 317,289,991,225
  5. Step 5: Solve for x
    x = 317,289,991,225/402,693
  6. Step 6: Final answer
    x = 787,920.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.