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Finding the Third Proportional to 263,266.31 and 432,443.25

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Solution

The third proportional to 263,266.31 and 432,443.25 is: 710,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,266.31 : 432,443.25 = 432,443.25 : x
  2. Step 2: Convert to fraction form
    263,266.31/432,443.25 = 432,443.25/x
  3. Step 3: Cross multiply
    263,266.31x = 432,443.25 × 432,443.25
  4. Step 4: Simplify right side
    263,266.31x = 187,007,164,470.56
  5. Step 5: Solve for x
    x = 187,007,164,470.56/263,266.31
  6. Step 6: Final answer
    x = 710,334.58

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.