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Finding the Third Proportional to 531,994.50 and 798,103.13

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Solution

The third proportional to 531,994.50 and 798,103.13 is: 1,197,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,994.50 : 798,103.13 = 798,103.13 : x
  2. Step 2: Convert to fraction form
    531,994.50/798,103.13 = 798,103.13/x
  3. Step 3: Cross multiply
    531,994.50x = 798,103.13 × 798,103.13
  4. Step 4: Simplify right side
    531,994.50x = 636,968,598,134.77
  5. Step 5: Solve for x
    x = 636,968,598,134.77/531,994.50
  6. Step 6: Final answer
    x = 1,197,321.77

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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.