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Finding the Third Proportional to 220,496 and 350,432

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Solution

The third proportional to 220,496 and 350,432 is: 556,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,496 : 350,432 = 350,432 : x
  2. Step 2: Convert to fraction form
    220,496/350,432 = 350,432/x
  3. Step 3: Cross multiply
    220,496x = 350,432 × 350,432
  4. Step 4: Simplify right side
    220,496x = 122,802,586,624
  5. Step 5: Solve for x
    x = 122,802,586,624/220,496
  6. Step 6: Final answer
    x = 556,937.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.