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Finding the Third Proportional to 244,694 and 322,473

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Solution

The third proportional to 244,694 and 322,473 is: 424,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,694 : 322,473 = 322,473 : x
  2. Step 2: Convert to fraction form
    244,694/322,473 = 322,473/x
  3. Step 3: Cross multiply
    244,694x = 322,473 × 322,473
  4. Step 4: Simplify right side
    244,694x = 103,988,835,729
  5. Step 5: Solve for x
    x = 103,988,835,729/244,694
  6. Step 6: Final answer
    x = 424,975.01

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.