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Finding the Third Proportional to 362,215.13 and 786,756.38

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Solution

The third proportional to 362,215.13 and 786,756.38 is: 1,708,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,215.13 : 786,756.38 = 786,756.38 : x
  2. Step 2: Convert to fraction form
    362,215.13/786,756.38 = 786,756.38/x
  3. Step 3: Cross multiply
    362,215.13x = 786,756.38 × 786,756.38
  4. Step 4: Simplify right side
    362,215.13x = 618,985,593,603.14
  5. Step 5: Solve for x
    x = 618,985,593,603.14/362,215.13
  6. Step 6: Final answer
    x = 1,708,889.42

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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.