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Finding the Third Proportional to 497,024 and 747,840

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Solution

The third proportional to 497,024 and 747,840 is: 1,125,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,024 : 747,840 = 747,840 : x
  2. Step 2: Convert to fraction form
    497,024/747,840 = 747,840/x
  3. Step 3: Cross multiply
    497,024x = 747,840 × 747,840
  4. Step 4: Simplify right side
    497,024x = 559,264,665,600
  5. Step 5: Solve for x
    x = 559,264,665,600/497,024
  6. Step 6: Final answer
    x = 1,125,226.68

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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.