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Finding the Third Proportional to 378,156 and 585,468

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Solution

The third proportional to 378,156 and 585,468 is: 906,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,156 : 585,468 = 585,468 : x
  2. Step 2: Convert to fraction form
    378,156/585,468 = 585,468/x
  3. Step 3: Cross multiply
    378,156x = 585,468 × 585,468
  4. Step 4: Simplify right side
    378,156x = 342,772,779,024
  5. Step 5: Solve for x
    x = 342,772,779,024/378,156
  6. Step 6: Final answer
    x = 906,432.21

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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.