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Finding the Third Proportional to 229,863.50 and 487,370

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Solution

The third proportional to 229,863.50 and 487,370 is: 1,033,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863.50 : 487,370 = 487,370 : x
  2. Step 2: Convert to fraction form
    229,863.50/487,370 = 487,370/x
  3. Step 3: Cross multiply
    229,863.50x = 487,370 × 487,370
  4. Step 4: Simplify right side
    229,863.50x = 237,529,516,900
  5. Step 5: Solve for x
    x = 237,529,516,900/229,863.50
  6. Step 6: Final answer
    x = 1,033,350.30

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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.