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Finding the Third Proportional to 349,057.50 and 560,029.50

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Solution

The third proportional to 349,057.50 and 560,029.50 is: 898,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,057.50 : 560,029.50 = 560,029.50 : x
  2. Step 2: Convert to fraction form
    349,057.50/560,029.50 = 560,029.50/x
  3. Step 3: Cross multiply
    349,057.50x = 560,029.50 × 560,029.50
  4. Step 4: Simplify right side
    349,057.50x = 313,633,040,870.25
  5. Step 5: Solve for x
    x = 313,633,040,870.25/349,057.50
  6. Step 6: Final answer
    x = 898,513.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.