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Finding the Third Proportional to 421,931 and 563,628

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Solution

The third proportional to 421,931 and 563,628 is: 752,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,931 : 563,628 = 563,628 : x
  2. Step 2: Convert to fraction form
    421,931/563,628 = 563,628/x
  3. Step 3: Cross multiply
    421,931x = 563,628 × 563,628
  4. Step 4: Simplify right side
    421,931x = 317,676,522,384
  5. Step 5: Solve for x
    x = 317,676,522,384/421,931
  6. Step 6: Final answer
    x = 752,911.07

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.