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Finding the Third Proportional to 524,655.50 and 783,733.50

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Solution

The third proportional to 524,655.50 and 783,733.50 is: 1,170,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,655.50 : 783,733.50 = 783,733.50 : x
  2. Step 2: Convert to fraction form
    524,655.50/783,733.50 = 783,733.50/x
  3. Step 3: Cross multiply
    524,655.50x = 783,733.50 × 783,733.50
  4. Step 4: Simplify right side
    524,655.50x = 614,238,199,022.25
  5. Step 5: Solve for x
    x = 614,238,199,022.25/524,655.50
  6. Step 6: Final answer
    x = 1,170,745.75

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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.