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Finding the Third Proportional to 728,831.75 and 1,074,563.94

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Solution

The third proportional to 728,831.75 and 1,074,563.94 is: 1,584,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,831.75 : 1,074,563.94 = 1,074,563.94 : x
  2. Step 2: Convert to fraction form
    728,831.75/1,074,563.94 = 1,074,563.94/x
  3. Step 3: Cross multiply
    728,831.75x = 1,074,563.94 × 1,074,563.94
  4. Step 4: Simplify right side
    728,831.75x = 1,154,687,655,775.50
  5. Step 5: Solve for x
    x = 1,154,687,655,775.50/728,831.75
  6. Step 6: Final answer
    x = 1,584,299.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.