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Finding the Third Proportional to 389,250 and 828,720

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Solution

The third proportional to 389,250 and 828,720 is: 1,764,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,250 : 828,720 = 828,720 : x
  2. Step 2: Convert to fraction form
    389,250/828,720 = 828,720/x
  3. Step 3: Cross multiply
    389,250x = 828,720 × 828,720
  4. Step 4: Simplify right side
    389,250x = 686,776,838,400
  5. Step 5: Solve for x
    x = 686,776,838,400/389,250
  6. Step 6: Final answer
    x = 1,764,359.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.