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Finding the Third Proportional to 371,234 and 565,555

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Solution

The third proportional to 371,234 and 565,555 is: 861,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,234 : 565,555 = 565,555 : x
  2. Step 2: Convert to fraction form
    371,234/565,555 = 565,555/x
  3. Step 3: Cross multiply
    371,234x = 565,555 × 565,555
  4. Step 4: Simplify right side
    371,234x = 319,852,458,025
  5. Step 5: Solve for x
    x = 319,852,458,025/371,234
  6. Step 6: Final answer
    x = 861,592.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.