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Finding the Third Proportional to 532,096 and 798,120

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Solution

The third proportional to 532,096 and 798,120 is: 1,197,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,096 : 798,120 = 798,120 : x
  2. Step 2: Convert to fraction form
    532,096/798,120 = 798,120/x
  3. Step 3: Cross multiply
    532,096x = 798,120 × 798,120
  4. Step 4: Simplify right side
    532,096x = 636,995,534,400
  5. Step 5: Solve for x
    x = 636,995,534,400/532,096
  6. Step 6: Final answer
    x = 1,197,144.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.