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Finding the Third Proportional to 541,148 and 841,188

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Solution

The third proportional to 541,148 and 841,188 is: 1,307,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,148 : 841,188 = 841,188 : x
  2. Step 2: Convert to fraction form
    541,148/841,188 = 841,188/x
  3. Step 3: Cross multiply
    541,148x = 841,188 × 841,188
  4. Step 4: Simplify right side
    541,148x = 707,597,251,344
  5. Step 5: Solve for x
    x = 707,597,251,344/541,148
  6. Step 6: Final answer
    x = 1,307,585.45

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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.