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Finding the Third Proportional to 543,118.50 and 811,032.75

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Solution

The third proportional to 543,118.50 and 811,032.75 is: 1,211,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,118.50 : 811,032.75 = 811,032.75 : x
  2. Step 2: Convert to fraction form
    543,118.50/811,032.75 = 811,032.75/x
  3. Step 3: Cross multiply
    543,118.50x = 811,032.75 × 811,032.75
  4. Step 4: Simplify right side
    543,118.50x = 657,774,121,572.56
  5. Step 5: Solve for x
    x = 657,774,121,572.56/543,118.50
  6. Step 6: Final answer
    x = 1,211,106.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.