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Finding the Third Proportional to 412,943 and 914,323.50

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Solution

The third proportional to 412,943 and 914,323.50 is: 2,024,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,943 : 914,323.50 = 914,323.50 : x
  2. Step 2: Convert to fraction form
    412,943/914,323.50 = 914,323.50/x
  3. Step 3: Cross multiply
    412,943x = 914,323.50 × 914,323.50
  4. Step 4: Simplify right side
    412,943x = 835,987,462,652.25
  5. Step 5: Solve for x
    x = 835,987,462,652.25/412,943
  6. Step 6: Final answer
    x = 2,024,462.12

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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.