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Finding the Third Proportional to 850,305.75 and 1,300,165.13

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Solution

The third proportional to 850,305.75 and 1,300,165.13 is: 1,988,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,305.75 : 1,300,165.13 = 1,300,165.13 : x
  2. Step 2: Convert to fraction form
    850,305.75/1,300,165.13 = 1,300,165.13/x
  3. Step 3: Cross multiply
    850,305.75x = 1,300,165.13 × 1,300,165.13
  4. Step 4: Simplify right side
    850,305.75x = 1,690,429,352,266.27
  5. Step 5: Solve for x
    x = 1,690,429,352,266.27/850,305.75
  6. Step 6: Final answer
    x = 1,988,025.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.