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Finding the Third Proportional to 444,160.13 and 715,295.81

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Solution

The third proportional to 444,160.13 and 715,295.81 is: 1,151,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,160.13 : 715,295.81 = 715,295.81 : x
  2. Step 2: Convert to fraction form
    444,160.13/715,295.81 = 715,295.81/x
  3. Step 3: Cross multiply
    444,160.13x = 715,295.81 × 715,295.81
  4. Step 4: Simplify right side
    444,160.13x = 511,648,099,380.04
  5. Step 5: Solve for x
    x = 511,648,099,380.04/444,160.13
  6. Step 6: Final answer
    x = 1,151,945.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.