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Finding the Third Proportional to 235,818.50 and 508,982.13

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Solution

The third proportional to 235,818.50 and 508,982.13 is: 1,098,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,818.50 : 508,982.13 = 508,982.13 : x
  2. Step 2: Convert to fraction form
    235,818.50/508,982.13 = 508,982.13/x
  3. Step 3: Cross multiply
    235,818.50x = 508,982.13 × 508,982.13
  4. Step 4: Simplify right side
    235,818.50x = 259,062,803,569.52
  5. Step 5: Solve for x
    x = 259,062,803,569.52/235,818.50
  6. Step 6: Final answer
    x = 1,098,568.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.