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Finding the Third Proportional to 531,864 and 798,169

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Solution

The third proportional to 531,864 and 798,169 is: 1,197,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,864 : 798,169 = 798,169 : x
  2. Step 2: Convert to fraction form
    531,864/798,169 = 798,169/x
  3. Step 3: Cross multiply
    531,864x = 798,169 × 798,169
  4. Step 4: Simplify right side
    531,864x = 637,073,752,561
  5. Step 5: Solve for x
    x = 637,073,752,561/531,864
  6. Step 6: Final answer
    x = 1,197,813.26

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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.