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Finding the Third Proportional to 280,046 and 614,526

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Solution

The third proportional to 280,046 and 614,526 is: 1,348,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,046 : 614,526 = 614,526 : x
  2. Step 2: Convert to fraction form
    280,046/614,526 = 614,526/x
  3. Step 3: Cross multiply
    280,046x = 614,526 × 614,526
  4. Step 4: Simplify right side
    280,046x = 377,642,204,676
  5. Step 5: Solve for x
    x = 377,642,204,676/280,046
  6. Step 6: Final answer
    x = 1,348,500.62

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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.