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Finding the Third Proportional to 229,700 and 487,228

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Solution

The third proportional to 229,700 and 487,228 is: 1,033,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,700 : 487,228 = 487,228 : x
  2. Step 2: Convert to fraction form
    229,700/487,228 = 487,228/x
  3. Step 3: Cross multiply
    229,700x = 487,228 × 487,228
  4. Step 4: Simplify right side
    229,700x = 237,391,123,984
  5. Step 5: Solve for x
    x = 237,391,123,984/229,700
  6. Step 6: Final answer
    x = 1,033,483.34

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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.