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Finding the Third Proportional to 243,577.13 and 382,633.88

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Solution

The third proportional to 243,577.13 and 382,633.88 is: 601,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,577.13 : 382,633.88 = 382,633.88 : x
  2. Step 2: Convert to fraction form
    243,577.13/382,633.88 = 382,633.88/x
  3. Step 3: Cross multiply
    243,577.13x = 382,633.88 × 382,633.88
  4. Step 4: Simplify right side
    243,577.13x = 146,408,682,297.52
  5. Step 5: Solve for x
    x = 146,408,682,297.52/243,577.13
  6. Step 6: Final answer
    x = 601,077.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.