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Finding the Third Proportional to 776,034.50 and 1,042,854.50

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Solution

The third proportional to 776,034.50 and 1,042,854.50 is: 1,401,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,034.50 : 1,042,854.50 = 1,042,854.50 : x
  2. Step 2: Convert to fraction form
    776,034.50/1,042,854.50 = 1,042,854.50/x
  3. Step 3: Cross multiply
    776,034.50x = 1,042,854.50 × 1,042,854.50
  4. Step 4: Simplify right side
    776,034.50x = 1,087,545,508,170.25
  5. Step 5: Solve for x
    x = 1,087,545,508,170.25/776,034.50
  6. Step 6: Final answer
    x = 1,401,413.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.