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Finding the Third Proportional to 775,514.25 and 1,164,091.50

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Solution

The third proportional to 775,514.25 and 1,164,091.50 is: 1,747,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,514.25 : 1,164,091.50 = 1,164,091.50 : x
  2. Step 2: Convert to fraction form
    775,514.25/1,164,091.50 = 1,164,091.50/x
  3. Step 3: Cross multiply
    775,514.25x = 1,164,091.50 × 1,164,091.50
  4. Step 4: Simplify right side
    775,514.25x = 1,355,109,020,372.25
  5. Step 5: Solve for x
    x = 1,355,109,020,372.25/775,514.25
  6. Step 6: Final answer
    x = 1,747,368.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.