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Finding the Third Proportional to 495,865.13 and 786,241.69

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Solution

The third proportional to 495,865.13 and 786,241.69 is: 1,246,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,865.13 : 786,241.69 = 786,241.69 : x
  2. Step 2: Convert to fraction form
    495,865.13/786,241.69 = 786,241.69/x
  3. Step 3: Cross multiply
    495,865.13x = 786,241.69 × 786,241.69
  4. Step 4: Simplify right side
    495,865.13x = 618,175,991,162.85
  5. Step 5: Solve for x
    x = 618,175,991,162.85/495,865.13
  6. Step 6: Final answer
    x = 1,246,661.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.