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Finding the Third Proportional to 489,301 and 731,674

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Solution

The third proportional to 489,301 and 731,674 is: 1,094,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,301 : 731,674 = 731,674 : x
  2. Step 2: Convert to fraction form
    489,301/731,674 = 731,674/x
  3. Step 3: Cross multiply
    489,301x = 731,674 × 731,674
  4. Step 4: Simplify right side
    489,301x = 535,346,842,276
  5. Step 5: Solve for x
    x = 535,346,842,276/489,301
  6. Step 6: Final answer
    x = 1,094,105.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.