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Finding the Third Proportional to 233,680.50 and 508,366.13

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Solution

The third proportional to 233,680.50 and 508,366.13 is: 1,105,937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,680.50 : 508,366.13 = 508,366.13 : x
  2. Step 2: Convert to fraction form
    233,680.50/508,366.13 = 508,366.13/x
  3. Step 3: Cross multiply
    233,680.50x = 508,366.13 × 508,366.13
  4. Step 4: Simplify right side
    233,680.50x = 258,436,117,047.52
  5. Step 5: Solve for x
    x = 258,436,117,047.52/233,680.50
  6. Step 6: Final answer
    x = 1,105,937.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.