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Finding the Third Proportional to 386,206.13 and 845,983.50

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Solution

The third proportional to 386,206.13 and 845,983.50 is: 1,853,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,206.13 : 845,983.50 = 845,983.50 : x
  2. Step 2: Convert to fraction form
    386,206.13/845,983.50 = 845,983.50/x
  3. Step 3: Cross multiply
    386,206.13x = 845,983.50 × 845,983.50
  4. Step 4: Simplify right side
    386,206.13x = 715,688,082,272.25
  5. Step 5: Solve for x
    x = 715,688,082,272.25/386,206.13
  6. Step 6: Final answer
    x = 1,853,124.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.