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Finding the Third Proportional to 759,641.75 and 1,023,004.75

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Solution

The third proportional to 759,641.75 and 1,023,004.75 is: 1,377,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,641.75 : 1,023,004.75 = 1,023,004.75 : x
  2. Step 2: Convert to fraction form
    759,641.75/1,023,004.75 = 1,023,004.75/x
  3. Step 3: Cross multiply
    759,641.75x = 1,023,004.75 × 1,023,004.75
  4. Step 4: Simplify right side
    759,641.75x = 1,046,538,718,522.56
  5. Step 5: Solve for x
    x = 1,046,538,718,522.56/759,641.75
  6. Step 6: Final answer
    x = 1,377,674.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.