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Finding the Third Proportional to 498,859.50 and 760,744.13

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Solution

The third proportional to 498,859.50 and 760,744.13 is: 1,160,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,859.50 : 760,744.13 = 760,744.13 : x
  2. Step 2: Convert to fraction form
    498,859.50/760,744.13 = 760,744.13/x
  3. Step 3: Cross multiply
    498,859.50x = 760,744.13 × 760,744.13
  4. Step 4: Simplify right side
    498,859.50x = 578,731,623,722.02
  5. Step 5: Solve for x
    x = 578,731,623,722.02/498,859.50
  6. Step 6: Final answer
    x = 1,160,109.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.