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Finding the Third Proportional to 466,590 and 723,862

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Solution

The third proportional to 466,590 and 723,862 is: 1,122,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,590 : 723,862 = 723,862 : x
  2. Step 2: Convert to fraction form
    466,590/723,862 = 723,862/x
  3. Step 3: Cross multiply
    466,590x = 723,862 × 723,862
  4. Step 4: Simplify right side
    466,590x = 523,976,195,044
  5. Step 5: Solve for x
    x = 523,976,195,044/466,590
  6. Step 6: Final answer
    x = 1,122,990.62

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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.