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Finding the Third Proportional to 229,870 and 487,106

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Solution

The third proportional to 229,870 and 487,106 is: 1,032,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,870 : 487,106 = 487,106 : x
  2. Step 2: Convert to fraction form
    229,870/487,106 = 487,106/x
  3. Step 3: Cross multiply
    229,870x = 487,106 × 487,106
  4. Step 4: Simplify right side
    229,870x = 237,272,255,236
  5. Step 5: Solve for x
    x = 237,272,255,236/229,870
  6. Step 6: Final answer
    x = 1,032,201.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.