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Finding the Third Proportional to 466,664 and 723,974

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Solution

The third proportional to 466,664 and 723,974 is: 1,123,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,664 : 723,974 = 723,974 : x
  2. Step 2: Convert to fraction form
    466,664/723,974 = 723,974/x
  3. Step 3: Cross multiply
    466,664x = 723,974 × 723,974
  4. Step 4: Simplify right side
    466,664x = 524,138,352,676
  5. Step 5: Solve for x
    x = 524,138,352,676/466,664
  6. Step 6: Final answer
    x = 1,123,160.03

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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.