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Finding the Third Proportional to 366,970 and 567,154

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Solution

The third proportional to 366,970 and 567,154 is: 876,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,970 : 567,154 = 567,154 : x
  2. Step 2: Convert to fraction form
    366,970/567,154 = 567,154/x
  3. Step 3: Cross multiply
    366,970x = 567,154 × 567,154
  4. Step 4: Simplify right side
    366,970x = 321,663,659,716
  5. Step 5: Solve for x
    x = 321,663,659,716/366,970
  6. Step 6: Final answer
    x = 876,539.39

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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.