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Finding the Third Proportional to 543.06 and 841.59

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Solution

The third proportional to 543.06 and 841.59 is: 1,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.06 : 841.59 = 841.59 : x
  2. Step 2: Convert to fraction form
    543.06/841.59 = 841.59/x
  3. Step 3: Cross multiply
    543.06x = 841.59 × 841.59
  4. Step 4: Simplify right side
    543.06x = 708,270.18
  5. Step 5: Solve for x
    x = 708,270.18/543.06
  6. Step 6: Final answer
    x = 1,304.22

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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.