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Finding the Third Proportional to 778,142.75 and 1,167,214.25

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Solution

The third proportional to 778,142.75 and 1,167,214.25 is: 1,750,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,142.75 : 1,167,214.25 = 1,167,214.25 : x
  2. Step 2: Convert to fraction form
    778,142.75/1,167,214.25 = 1,167,214.25/x
  3. Step 3: Cross multiply
    778,142.75x = 1,167,214.25 × 1,167,214.25
  4. Step 4: Simplify right side
    778,142.75x = 1,362,389,105,403.06
  5. Step 5: Solve for x
    x = 1,362,389,105,403.06/778,142.75
  6. Step 6: Final answer
    x = 1,750,821.56

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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.