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Finding the Third Proportional to 262,413 and 417,750

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Solution

The third proportional to 262,413 and 417,750 is: 665,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,413 : 417,750 = 417,750 : x
  2. Step 2: Convert to fraction form
    262,413/417,750 = 417,750/x
  3. Step 3: Cross multiply
    262,413x = 417,750 × 417,750
  4. Step 4: Simplify right side
    262,413x = 174,515,062,500
  5. Step 5: Solve for x
    x = 174,515,062,500/262,413
  6. Step 6: Final answer
    x = 665,039.70

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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.