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Finding the Third Proportional to 243,577.13 and 531,304.31

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Solution

The third proportional to 243,577.13 and 531,304.31 is: 1,158,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,577.13 : 531,304.31 = 531,304.31 : x
  2. Step 2: Convert to fraction form
    243,577.13/531,304.31 = 531,304.31/x
  3. Step 3: Cross multiply
    243,577.13x = 531,304.31 × 531,304.31
  4. Step 4: Simplify right side
    243,577.13x = 282,284,272,481.10
  5. Step 5: Solve for x
    x = 282,284,272,481.10/243,577.13
  6. Step 6: Final answer
    x = 1,158,911.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.