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Finding the Third Proportional to 480,750 and 747,345

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Solution

The third proportional to 480,750 and 747,345 is: 1,161,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,750 : 747,345 = 747,345 : x
  2. Step 2: Convert to fraction form
    480,750/747,345 = 747,345/x
  3. Step 3: Cross multiply
    480,750x = 747,345 × 747,345
  4. Step 4: Simplify right side
    480,750x = 558,524,549,025
  5. Step 5: Solve for x
    x = 558,524,549,025/480,750
  6. Step 6: Final answer
    x = 1,161,777.53

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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.