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Finding the Third Proportional to 278,725 and 411,527

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Solution

The third proportional to 278,725 and 411,527 is: 607,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,725 : 411,527 = 411,527 : x
  2. Step 2: Convert to fraction form
    278,725/411,527 = 411,527/x
  3. Step 3: Cross multiply
    278,725x = 411,527 × 411,527
  4. Step 4: Simplify right side
    278,725x = 169,354,471,729
  5. Step 5: Solve for x
    x = 169,354,471,729/278,725
  6. Step 6: Final answer
    x = 607,604.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.