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Finding the Third Proportional to 282,638 and 614,360

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Solution

The third proportional to 282,638 and 614,360 is: 1,335,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,638 : 614,360 = 614,360 : x
  2. Step 2: Convert to fraction form
    282,638/614,360 = 614,360/x
  3. Step 3: Cross multiply
    282,638x = 614,360 × 614,360
  4. Step 4: Simplify right side
    282,638x = 377,438,209,600
  5. Step 5: Solve for x
    x = 377,438,209,600/282,638
  6. Step 6: Final answer
    x = 1,335,412.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.