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Finding the Third Proportional to 232,901 and 499,042

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Solution

The third proportional to 232,901 and 499,042 is: 1,069,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,901 : 499,042 = 499,042 : x
  2. Step 2: Convert to fraction form
    232,901/499,042 = 499,042/x
  3. Step 3: Cross multiply
    232,901x = 499,042 × 499,042
  4. Step 4: Simplify right side
    232,901x = 249,042,917,764
  5. Step 5: Solve for x
    x = 249,042,917,764/232,901
  6. Step 6: Final answer
    x = 1,069,308.07

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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.