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Finding the Third Proportional to 524,232 and 790,680

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Solution

The third proportional to 524,232 and 790,680 is: 1,192,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,232 : 790,680 = 790,680 : x
  2. Step 2: Convert to fraction form
    524,232/790,680 = 790,680/x
  3. Step 3: Cross multiply
    524,232x = 790,680 × 790,680
  4. Step 4: Simplify right side
    524,232x = 625,174,862,400
  5. Step 5: Solve for x
    x = 625,174,862,400/524,232
  6. Step 6: Final answer
    x = 1,192,553.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.