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Finding the Third Proportional to 232,898 and 499,028

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Solution

The third proportional to 232,898 and 499,028 is: 1,069,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,898 : 499,028 = 499,028 : x
  2. Step 2: Convert to fraction form
    232,898/499,028 = 499,028/x
  3. Step 3: Cross multiply
    232,898x = 499,028 × 499,028
  4. Step 4: Simplify right side
    232,898x = 249,028,944,784
  5. Step 5: Solve for x
    x = 249,028,944,784/232,898
  6. Step 6: Final answer
    x = 1,069,261.84

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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.