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Finding the Third Proportional to 550,291.50 and 1,192,186.13

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Solution

The third proportional to 550,291.50 and 1,192,186.13 is: 2,582,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,291.50 : 1,192,186.13 = 1,192,186.13 : x
  2. Step 2: Convert to fraction form
    550,291.50/1,192,186.13 = 1,192,186.13/x
  3. Step 3: Cross multiply
    550,291.50x = 1,192,186.13 × 1,192,186.13
  4. Step 4: Simplify right side
    550,291.50x = 1,421,307,756,642.52
  5. Step 5: Solve for x
    x = 1,421,307,756,642.52/550,291.50
  6. Step 6: Final answer
    x = 2,582,827.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.