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Finding the Third Proportional to 498,759 and 730,445.25

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Solution

The third proportional to 498,759 and 730,445.25 is: 1,069,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,759 : 730,445.25 = 730,445.25 : x
  2. Step 2: Convert to fraction form
    498,759/730,445.25 = 730,445.25/x
  3. Step 3: Cross multiply
    498,759x = 730,445.25 × 730,445.25
  4. Step 4: Simplify right side
    498,759x = 533,550,263,247.56
  5. Step 5: Solve for x
    x = 533,550,263,247.56/498,759
  6. Step 6: Final answer
    x = 1,069,755.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.