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Finding the Third Proportional to 532,098 and 798,123

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Solution

The third proportional to 532,098 and 798,123 is: 1,197,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,098 : 798,123 = 798,123 : x
  2. Step 2: Convert to fraction form
    532,098/798,123 = 798,123/x
  3. Step 3: Cross multiply
    532,098x = 798,123 × 798,123
  4. Step 4: Simplify right side
    532,098x = 637,000,323,129
  5. Step 5: Solve for x
    x = 637,000,323,129/532,098
  6. Step 6: Final answer
    x = 1,197,148.50

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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.