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Finding the Third Proportional to 532,014.75 and 748,264.50

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Solution

The third proportional to 532,014.75 and 748,264.50 is: 1,052,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,014.75 : 748,264.50 = 748,264.50 : x
  2. Step 2: Convert to fraction form
    532,014.75/748,264.50 = 748,264.50/x
  3. Step 3: Cross multiply
    532,014.75x = 748,264.50 × 748,264.50
  4. Step 4: Simplify right side
    532,014.75x = 559,899,761,960.25
  5. Step 5: Solve for x
    x = 559,899,761,960.25/532,014.75
  6. Step 6: Final answer
    x = 1,052,413.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.