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Finding the Third Proportional to 232,930 and 499,100

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Solution

The third proportional to 232,930 and 499,100 is: 1,069,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,930 : 499,100 = 499,100 : x
  2. Step 2: Convert to fraction form
    232,930/499,100 = 499,100/x
  3. Step 3: Cross multiply
    232,930x = 499,100 × 499,100
  4. Step 4: Simplify right side
    232,930x = 249,100,810,000
  5. Step 5: Solve for x
    x = 249,100,810,000/232,930
  6. Step 6: Final answer
    x = 1,069,423.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.