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Finding the Third Proportional to 240,557 and 366,506

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Solution

The third proportional to 240,557 and 366,506 is: 558,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,557 : 366,506 = 366,506 : x
  2. Step 2: Convert to fraction form
    240,557/366,506 = 366,506/x
  3. Step 3: Cross multiply
    240,557x = 366,506 × 366,506
  4. Step 4: Simplify right side
    240,557x = 134,326,648,036
  5. Step 5: Solve for x
    x = 134,326,648,036/240,557
  6. Step 6: Final answer
    x = 558,398.42

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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.