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Finding the Third Proportional to 497,970 and 747,451

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Solution

The third proportional to 497,970 and 747,451 is: 1,121,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,970 : 747,451 = 747,451 : x
  2. Step 2: Convert to fraction form
    497,970/747,451 = 747,451/x
  3. Step 3: Cross multiply
    497,970x = 747,451 × 747,451
  4. Step 4: Simplify right side
    497,970x = 558,682,997,401
  5. Step 5: Solve for x
    x = 558,682,997,401/497,970
  6. Step 6: Final answer
    x = 1,121,920.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.