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Finding the Third Proportional to 462,344 and 725,464

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Solution

The third proportional to 462,344 and 725,464 is: 1,138,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,344 : 725,464 = 725,464 : x
  2. Step 2: Convert to fraction form
    462,344/725,464 = 725,464/x
  3. Step 3: Cross multiply
    462,344x = 725,464 × 725,464
  4. Step 4: Simplify right side
    462,344x = 526,298,015,296
  5. Step 5: Solve for x
    x = 526,298,015,296/462,344
  6. Step 6: Final answer
    x = 1,138,325.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.