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Finding the Third Proportional to 471,863.25 and 750,550.50

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Solution

The third proportional to 471,863.25 and 750,550.50 is: 1,193,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,863.25 : 750,550.50 = 750,550.50 : x
  2. Step 2: Convert to fraction form
    471,863.25/750,550.50 = 750,550.50/x
  3. Step 3: Cross multiply
    471,863.25x = 750,550.50 × 750,550.50
  4. Step 4: Simplify right side
    471,863.25x = 563,326,053,050.25
  5. Step 5: Solve for x
    x = 563,326,053,050.25/471,863.25
  6. Step 6: Final answer
    x = 1,193,833.28

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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.