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Finding the Third Proportional to 243,994.13 and 517,511.63

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Solution

The third proportional to 243,994.13 and 517,511.63 is: 1,097,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,994.13 : 517,511.63 = 517,511.63 : x
  2. Step 2: Convert to fraction form
    243,994.13/517,511.63 = 517,511.63/x
  3. Step 3: Cross multiply
    243,994.13x = 517,511.63 × 517,511.63
  4. Step 4: Simplify right side
    243,994.13x = 267,818,282,010.14
  5. Step 5: Solve for x
    x = 267,818,282,010.14/243,994.13
  6. Step 6: Final answer
    x = 1,097,642.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.