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Finding the Third Proportional to 863,290.50 and 1,351,257.75

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Solution

The third proportional to 863,290.50 and 1,351,257.75 is: 2,115,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,290.50 : 1,351,257.75 = 1,351,257.75 : x
  2. Step 2: Convert to fraction form
    863,290.50/1,351,257.75 = 1,351,257.75/x
  3. Step 3: Cross multiply
    863,290.50x = 1,351,257.75 × 1,351,257.75
  4. Step 4: Simplify right side
    863,290.50x = 1,825,897,506,935.06
  5. Step 5: Solve for x
    x = 1,825,897,506,935.06/863,290.50
  6. Step 6: Final answer
    x = 2,115,044.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.