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Finding the Third Proportional to 356,194.13 and 524,782.13

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Solution

The third proportional to 356,194.13 and 524,782.13 is: 773,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,194.13 : 524,782.13 = 524,782.13 : x
  2. Step 2: Convert to fraction form
    356,194.13/524,782.13 = 524,782.13/x
  3. Step 3: Cross multiply
    356,194.13x = 524,782.13 × 524,782.13
  4. Step 4: Simplify right side
    356,194.13x = 275,396,278,719.52
  5. Step 5: Solve for x
    x = 275,396,278,719.52/356,194.13
  6. Step 6: Final answer
    x = 773,163.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.