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Finding the Third Proportional to 350,932 and 500,154

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Solution

The third proportional to 350,932 and 500,154 is: 712,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,932 : 500,154 = 500,154 : x
  2. Step 2: Convert to fraction form
    350,932/500,154 = 500,154/x
  3. Step 3: Cross multiply
    350,932x = 500,154 × 500,154
  4. Step 4: Simplify right side
    350,932x = 250,154,023,716
  5. Step 5: Solve for x
    x = 250,154,023,716/350,932
  6. Step 6: Final answer
    x = 712,827.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.