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Finding the Third Proportional to 512,418 and 814,246.50

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Solution

The third proportional to 512,418 and 814,246.50 is: 1,293,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,418 : 814,246.50 = 814,246.50 : x
  2. Step 2: Convert to fraction form
    512,418/814,246.50 = 814,246.50/x
  3. Step 3: Cross multiply
    512,418x = 814,246.50 × 814,246.50
  4. Step 4: Simplify right side
    512,418x = 662,997,362,762.25
  5. Step 5: Solve for x
    x = 662,997,362,762.25/512,418
  6. Step 6: Final answer
    x = 1,293,860.41

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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.