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Finding the Third Proportional to 477,918 and 1,033,267.50

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Solution

The third proportional to 477,918 and 1,033,267.50 is: 2,233,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,918 : 1,033,267.50 = 1,033,267.50 : x
  2. Step 2: Convert to fraction form
    477,918/1,033,267.50 = 1,033,267.50/x
  3. Step 3: Cross multiply
    477,918x = 1,033,267.50 × 1,033,267.50
  4. Step 4: Simplify right side
    477,918x = 1,067,641,726,556.25
  5. Step 5: Solve for x
    x = 1,067,641,726,556.25/477,918
  6. Step 6: Final answer
    x = 2,233,943.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.