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Finding the Third Proportional to 815,305.50 and 1,347,502.50

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Solution

The third proportional to 815,305.50 and 1,347,502.50 is: 2,227,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,305.50 : 1,347,502.50 = 1,347,502.50 : x
  2. Step 2: Convert to fraction form
    815,305.50/1,347,502.50 = 1,347,502.50/x
  3. Step 3: Cross multiply
    815,305.50x = 1,347,502.50 × 1,347,502.50
  4. Step 4: Simplify right side
    815,305.50x = 1,815,762,987,506.25
  5. Step 5: Solve for x
    x = 1,815,762,987,506.25/815,305.50
  6. Step 6: Final answer
    x = 2,227,095.23

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.