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Finding the Third Proportional to 469,808 and 725,448

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Solution

The third proportional to 469,808 and 725,448 is: 1,120,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,808 : 725,448 = 725,448 : x
  2. Step 2: Convert to fraction form
    469,808/725,448 = 725,448/x
  3. Step 3: Cross multiply
    469,808x = 725,448 × 725,448
  4. Step 4: Simplify right side
    469,808x = 526,274,800,704
  5. Step 5: Solve for x
    x = 526,274,800,704/469,808
  6. Step 6: Final answer
    x = 1,120,191.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.