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Finding the Third Proportional to 282,756 and 614,598

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Solution

The third proportional to 282,756 and 614,598 is: 1,335,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,756 : 614,598 = 614,598 : x
  2. Step 2: Convert to fraction form
    282,756/614,598 = 614,598/x
  3. Step 3: Cross multiply
    282,756x = 614,598 × 614,598
  4. Step 4: Simplify right side
    282,756x = 377,730,701,604
  5. Step 5: Solve for x
    x = 377,730,701,604/282,756
  6. Step 6: Final answer
    x = 1,335,889.25

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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.