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Finding the Third Proportional to 370,272.50 and 766,801

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Solution

The third proportional to 370,272.50 and 766,801 is: 1,587,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,272.50 : 766,801 = 766,801 : x
  2. Step 2: Convert to fraction form
    370,272.50/766,801 = 766,801/x
  3. Step 3: Cross multiply
    370,272.50x = 766,801 × 766,801
  4. Step 4: Simplify right side
    370,272.50x = 587,983,773,601
  5. Step 5: Solve for x
    x = 587,983,773,601/370,272.50
  6. Step 6: Final answer
    x = 1,587,975.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.