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Finding the Third Proportional to 541,504.13 and 841,871.25

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Solution

The third proportional to 541,504.13 and 841,871.25 is: 1,308,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,504.13 : 841,871.25 = 841,871.25 : x
  2. Step 2: Convert to fraction form
    541,504.13/841,871.25 = 841,871.25/x
  3. Step 3: Cross multiply
    541,504.13x = 841,871.25 × 841,871.25
  4. Step 4: Simplify right side
    541,504.13x = 708,747,201,576.56
  5. Step 5: Solve for x
    x = 708,747,201,576.56/541,504.13
  6. Step 6: Final answer
    x = 1,308,849.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.