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Finding the Third Proportional to 611,851.50 and 985,023

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Solution

The third proportional to 611,851.50 and 985,023 is: 1,585,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,851.50 : 985,023 = 985,023 : x
  2. Step 2: Convert to fraction form
    611,851.50/985,023 = 985,023/x
  3. Step 3: Cross multiply
    611,851.50x = 985,023 × 985,023
  4. Step 4: Simplify right side
    611,851.50x = 970,270,310,529
  5. Step 5: Solve for x
    x = 970,270,310,529/611,851.50
  6. Step 6: Final answer
    x = 1,585,793.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.