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Finding the Third Proportional to 532,005.75 and 748,251

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Solution

The third proportional to 532,005.75 and 748,251 is: 1,052,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,005.75 : 748,251 = 748,251 : x
  2. Step 2: Convert to fraction form
    532,005.75/748,251 = 748,251/x
  3. Step 3: Cross multiply
    532,005.75x = 748,251 × 748,251
  4. Step 4: Simplify right side
    532,005.75x = 559,879,559,001
  5. Step 5: Solve for x
    x = 559,879,559,001/532,005.75
  6. Step 6: Final answer
    x = 1,052,393.81

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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.