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Finding the Third Proportional to 524,662.50 and 783,744

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Solution

The third proportional to 524,662.50 and 783,744 is: 1,170,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,662.50 : 783,744 = 783,744 : x
  2. Step 2: Convert to fraction form
    524,662.50/783,744 = 783,744/x
  3. Step 3: Cross multiply
    524,662.50x = 783,744 × 783,744
  4. Step 4: Simplify right side
    524,662.50x = 614,254,657,536
  5. Step 5: Solve for x
    x = 614,254,657,536/524,662.50
  6. Step 6: Final answer
    x = 1,170,761.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.