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Finding the Third Proportional to 240,559 and 366,509

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Solution

The third proportional to 240,559 and 366,509 is: 558,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,559 : 366,509 = 366,509 : x
  2. Step 2: Convert to fraction form
    240,559/366,509 = 366,509/x
  3. Step 3: Cross multiply
    240,559x = 366,509 × 366,509
  4. Step 4: Simplify right side
    240,559x = 134,328,847,081
  5. Step 5: Solve for x
    x = 134,328,847,081/240,559
  6. Step 6: Final answer
    x = 558,402.92

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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.