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Finding the Third Proportional to 463,408 and 740,078

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Solution

The third proportional to 463,408 and 740,078 is: 1,181,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,408 : 740,078 = 740,078 : x
  2. Step 2: Convert to fraction form
    463,408/740,078 = 740,078/x
  3. Step 3: Cross multiply
    463,408x = 740,078 × 740,078
  4. Step 4: Simplify right side
    463,408x = 547,715,446,084
  5. Step 5: Solve for x
    x = 547,715,446,084/463,408
  6. Step 6: Final answer
    x = 1,181,929.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.