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Finding the Third Proportional to 480,016.13 and 718,657.31

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Solution

The third proportional to 480,016.13 and 718,657.31 is: 1,075,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,016.13 : 718,657.31 = 718,657.31 : x
  2. Step 2: Convert to fraction form
    480,016.13/718,657.31 = 718,657.31/x
  3. Step 3: Cross multiply
    480,016.13x = 718,657.31 × 718,657.31
  4. Step 4: Simplify right side
    480,016.13x = 516,468,332,809.72
  5. Step 5: Solve for x
    x = 516,468,332,809.72/480,016.13
  6. Step 6: Final answer
    x = 1,075,939.55

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Why These Related Problems?

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