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Finding the Third Proportional to 412,947 and 914,332.50

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Solution

The third proportional to 412,947 and 914,332.50 is: 2,024,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,947 : 914,332.50 = 914,332.50 : x
  2. Step 2: Convert to fraction form
    412,947/914,332.50 = 914,332.50/x
  3. Step 3: Cross multiply
    412,947x = 914,332.50 × 914,332.50
  4. Step 4: Simplify right side
    412,947x = 836,003,920,556.25
  5. Step 5: Solve for x
    x = 836,003,920,556.25/412,947
  6. Step 6: Final answer
    x = 2,024,482.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.