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Finding the Third Proportional to 466,582 and 723,850

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Solution

The third proportional to 466,582 and 723,850 is: 1,122,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,582 : 723,850 = 723,850 : x
  2. Step 2: Convert to fraction form
    466,582/723,850 = 723,850/x
  3. Step 3: Cross multiply
    466,582x = 723,850 × 723,850
  4. Step 4: Simplify right side
    466,582x = 523,958,822,500
  5. Step 5: Solve for x
    x = 523,958,822,500/466,582
  6. Step 6: Final answer
    x = 1,122,972.64

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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.