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Finding the Third Proportional to 280,060 and 614,552

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Solution

The third proportional to 280,060 and 614,552 is: 1,348,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,060 : 614,552 = 614,552 : x
  2. Step 2: Convert to fraction form
    280,060/614,552 = 614,552/x
  3. Step 3: Cross multiply
    280,060x = 614,552 × 614,552
  4. Step 4: Simplify right side
    280,060x = 377,674,160,704
  5. Step 5: Solve for x
    x = 377,674,160,704/280,060
  6. Step 6: Final answer
    x = 1,348,547.31

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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.