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Finding the Third Proportional to 350,930 and 500,151

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Solution

The third proportional to 350,930 and 500,151 is: 712,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,930 : 500,151 = 500,151 : x
  2. Step 2: Convert to fraction form
    350,930/500,151 = 500,151/x
  3. Step 3: Cross multiply
    350,930x = 500,151 × 500,151
  4. Step 4: Simplify right side
    350,930x = 250,151,022,801
  5. Step 5: Solve for x
    x = 250,151,022,801/350,930
  6. Step 6: Final answer
    x = 712,823.14

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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.