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Finding the Third Proportional to 282,628 and 614,340

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Solution

The third proportional to 282,628 and 614,340 is: 1,335,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,628 : 614,340 = 614,340 : x
  2. Step 2: Convert to fraction form
    282,628/614,340 = 614,340/x
  3. Step 3: Cross multiply
    282,628x = 614,340 × 614,340
  4. Step 4: Simplify right side
    282,628x = 377,413,635,600
  5. Step 5: Solve for x
    x = 377,413,635,600/282,628
  6. Step 6: Final answer
    x = 1,335,372.42

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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.