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Finding the Third Proportional to 360,207.50 and 833,815.25

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Solution

The third proportional to 360,207.50 and 833,815.25 is: 1,930,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,207.50 : 833,815.25 = 833,815.25 : x
  2. Step 2: Convert to fraction form
    360,207.50/833,815.25 = 833,815.25/x
  3. Step 3: Cross multiply
    360,207.50x = 833,815.25 × 833,815.25
  4. Step 4: Simplify right side
    360,207.50x = 695,247,871,132.56
  5. Step 5: Solve for x
    x = 695,247,871,132.56/360,207.50
  6. Step 6: Final answer
    x = 1,930,131.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.