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Finding the Third Proportional to 355,115 and 478,452

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Solution

The third proportional to 355,115 and 478,452 is: 644,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,115 : 478,452 = 478,452 : x
  2. Step 2: Convert to fraction form
    355,115/478,452 = 478,452/x
  3. Step 3: Cross multiply
    355,115x = 478,452 × 478,452
  4. Step 4: Simplify right side
    355,115x = 228,916,316,304
  5. Step 5: Solve for x
    x = 228,916,316,304/355,115
  6. Step 6: Final answer
    x = 644,625.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.