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Finding the Third Proportional to 280,916 and 614,382

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Solution

The third proportional to 280,916 and 614,382 is: 1,343,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,916 : 614,382 = 614,382 : x
  2. Step 2: Convert to fraction form
    280,916/614,382 = 614,382/x
  3. Step 3: Cross multiply
    280,916x = 614,382 × 614,382
  4. Step 4: Simplify right side
    280,916x = 377,465,241,924
  5. Step 5: Solve for x
    x = 377,465,241,924/280,916
  6. Step 6: Final answer
    x = 1,343,694.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.