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Finding the Third Proportional to 654,967.50 and 1,041,500.25

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Solution

The third proportional to 654,967.50 and 1,041,500.25 is: 1,656,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,967.50 : 1,041,500.25 = 1,041,500.25 : x
  2. Step 2: Convert to fraction form
    654,967.50/1,041,500.25 = 1,041,500.25/x
  3. Step 3: Cross multiply
    654,967.50x = 1,041,500.25 × 1,041,500.25
  4. Step 4: Simplify right side
    654,967.50x = 1,084,722,770,750.06
  5. Step 5: Solve for x
    x = 1,084,722,770,750.06/654,967.50
  6. Step 6: Final answer
    x = 1,656,147.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.