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Finding the Third Proportional to 723,981.75 and 952,038.75

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Solution

The third proportional to 723,981.75 and 952,038.75 is: 1,251,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,981.75 : 952,038.75 = 952,038.75 : x
  2. Step 2: Convert to fraction form
    723,981.75/952,038.75 = 952,038.75/x
  3. Step 3: Cross multiply
    723,981.75x = 952,038.75 × 952,038.75
  4. Step 4: Simplify right side
    723,981.75x = 906,377,781,501.56
  5. Step 5: Solve for x
    x = 906,377,781,501.56/723,981.75
  6. Step 6: Final answer
    x = 1,251,934.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.