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Finding the Third Proportional to 532,099 and 798,124

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Solution

The third proportional to 532,099 and 798,124 is: 1,197,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,099 : 798,124 = 798,124 : x
  2. Step 2: Convert to fraction form
    532,099/798,124 = 798,124/x
  3. Step 3: Cross multiply
    532,099x = 798,124 × 798,124
  4. Step 4: Simplify right side
    532,099x = 637,001,919,376
  5. Step 5: Solve for x
    x = 637,001,919,376/532,099
  6. Step 6: Final answer
    x = 1,197,149.25

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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.