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Finding the Third Proportional to 380,587.50 and 828,981

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Solution

The third proportional to 380,587.50 and 828,981 is: 1,805,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,587.50 : 828,981 = 828,981 : x
  2. Step 2: Convert to fraction form
    380,587.50/828,981 = 828,981/x
  3. Step 3: Cross multiply
    380,587.50x = 828,981 × 828,981
  4. Step 4: Simplify right side
    380,587.50x = 687,209,498,361
  5. Step 5: Solve for x
    x = 687,209,498,361/380,587.50
  6. Step 6: Final answer
    x = 1,805,654.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.