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Finding the Third Proportional to 541,145.81 and 841,174.88

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Solution

The third proportional to 541,145.81 and 841,174.88 is: 1,307,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,145.81 : 841,174.88 = 841,174.88 : x
  2. Step 2: Convert to fraction form
    541,145.81/841,174.88 = 841,174.88/x
  3. Step 3: Cross multiply
    541,145.81x = 841,174.88 × 841,174.88
  4. Step 4: Simplify right side
    541,145.81x = 707,575,170,331.27
  5. Step 5: Solve for x
    x = 707,575,170,331.27/541,145.81
  6. Step 6: Final answer
    x = 1,307,549.93

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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.