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Finding the Third Proportional to 543,141.88 and 821,702.13

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Solution

The third proportional to 543,141.88 and 821,702.13 is: 1,243,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,141.88 : 821,702.13 = 821,702.13 : x
  2. Step 2: Convert to fraction form
    543,141.88/821,702.13 = 821,702.13/x
  3. Step 3: Cross multiply
    543,141.88x = 821,702.13 × 821,702.13
  4. Step 4: Simplify right side
    543,141.88x = 675,194,382,229.52
  5. Step 5: Solve for x
    x = 675,194,382,229.52/543,141.88
  6. Step 6: Final answer
    x = 1,243,127.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.