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Finding the Third Proportional to 466,662 and 723,971

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Solution

The third proportional to 466,662 and 723,971 is: 1,123,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,662 : 723,971 = 723,971 : x
  2. Step 2: Convert to fraction form
    466,662/723,971 = 723,971/x
  3. Step 3: Cross multiply
    466,662x = 723,971 × 723,971
  4. Step 4: Simplify right side
    466,662x = 524,134,008,841
  5. Step 5: Solve for x
    x = 524,134,008,841/466,662
  6. Step 6: Final answer
    x = 1,123,155.54

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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.