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Finding the Third Proportional to 651,781.50 and 1,023,763.50

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Solution

The third proportional to 651,781.50 and 1,023,763.50 is: 1,608,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,781.50 : 1,023,763.50 = 1,023,763.50 : x
  2. Step 2: Convert to fraction form
    651,781.50/1,023,763.50 = 1,023,763.50/x
  3. Step 3: Cross multiply
    651,781.50x = 1,023,763.50 × 1,023,763.50
  4. Step 4: Simplify right side
    651,781.50x = 1,048,091,703,932.25
  5. Step 5: Solve for x
    x = 1,048,091,703,932.25/651,781.50
  6. Step 6: Final answer
    x = 1,608,041.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.