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Finding the Third Proportional to 466,593 and 723,865.50

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Solution

The third proportional to 466,593 and 723,865.50 is: 1,122,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,593 : 723,865.50 = 723,865.50 : x
  2. Step 2: Convert to fraction form
    466,593/723,865.50 = 723,865.50/x
  3. Step 3: Cross multiply
    466,593x = 723,865.50 × 723,865.50
  4. Step 4: Simplify right side
    466,593x = 523,981,262,090.25
  5. Step 5: Solve for x
    x = 523,981,262,090.25/466,593
  6. Step 6: Final answer
    x = 1,122,994.26

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