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Finding the Third Proportional to 349,761.38 and 524,643.75

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Solution

The third proportional to 349,761.38 and 524,643.75 is: 786,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,761.38 : 524,643.75 = 524,643.75 : x
  2. Step 2: Convert to fraction form
    349,761.38/524,643.75 = 524,643.75/x
  3. Step 3: Cross multiply
    349,761.38x = 524,643.75 × 524,643.75
  4. Step 4: Simplify right side
    349,761.38x = 275,251,064,414.06
  5. Step 5: Solve for x
    x = 275,251,064,414.06/349,761.38
  6. Step 6: Final answer
    x = 786,968.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.