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Finding the Third Proportional to 362,242.13 and 786,753

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Solution

The third proportional to 362,242.13 and 786,753 is: 1,708,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,242.13 : 786,753 = 786,753 : x
  2. Step 2: Convert to fraction form
    362,242.13/786,753 = 786,753/x
  3. Step 3: Cross multiply
    362,242.13x = 786,753 × 786,753
  4. Step 4: Simplify right side
    362,242.13x = 618,980,283,009
  5. Step 5: Solve for x
    x = 618,980,283,009/362,242.13
  6. Step 6: Final answer
    x = 1,708,747.38

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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.