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Finding the Third Proportional to 309,694 and 452,586

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Solution

The third proportional to 309,694 and 452,586 is: 661,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,694 : 452,586 = 452,586 : x
  2. Step 2: Convert to fraction form
    309,694/452,586 = 452,586/x
  3. Step 3: Cross multiply
    309,694x = 452,586 × 452,586
  4. Step 4: Simplify right side
    309,694x = 204,834,087,396
  5. Step 5: Solve for x
    x = 204,834,087,396/309,694
  6. Step 6: Final answer
    x = 661,407.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.