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Finding the Third Proportional to 487,465 and 753,325

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Solution

The third proportional to 487,465 and 753,325 is: 1,164,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,465 : 753,325 = 753,325 : x
  2. Step 2: Convert to fraction form
    487,465/753,325 = 753,325/x
  3. Step 3: Cross multiply
    487,465x = 753,325 × 753,325
  4. Step 4: Simplify right side
    487,465x = 567,498,555,625
  5. Step 5: Solve for x
    x = 567,498,555,625/487,465
  6. Step 6: Final answer
    x = 1,164,183.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.