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Finding the Third Proportional to 542 and 841.75

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Solution

The third proportional to 542 and 841.75 is: 1,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 841.75 = 841.75 : x
  2. Step 2: Convert to fraction form
    542/841.75 = 841.75/x
  3. Step 3: Cross multiply
    542x = 841.75 × 841.75
  4. Step 4: Simplify right side
    542x = 708,543.06
  5. Step 5: Solve for x
    x = 708,543.06/542
  6. Step 6: Final answer
    x = 1,307.28

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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.