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Finding the Third Proportional to 469,800 and 725,436

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Solution

The third proportional to 469,800 and 725,436 is: 1,120,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,800 : 725,436 = 725,436 : x
  2. Step 2: Convert to fraction form
    469,800/725,436 = 725,436/x
  3. Step 3: Cross multiply
    469,800x = 725,436 × 725,436
  4. Step 4: Simplify right side
    469,800x = 526,257,390,096
  5. Step 5: Solve for x
    x = 526,257,390,096/469,800
  6. Step 6: Final answer
    x = 1,120,173.24

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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.