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Finding the Third Proportional to 437,727.38 and 803,526.75

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Solution

The third proportional to 437,727.38 and 803,526.75 is: 1,475,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,727.38 : 803,526.75 = 803,526.75 : x
  2. Step 2: Convert to fraction form
    437,727.38/803,526.75 = 803,526.75/x
  3. Step 3: Cross multiply
    437,727.38x = 803,526.75 × 803,526.75
  4. Step 4: Simplify right side
    437,727.38x = 645,655,237,965.56
  5. Step 5: Solve for x
    x = 645,655,237,965.56/437,727.38
  6. Step 6: Final answer
    x = 1,475,016.81

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.