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Finding the Third Proportional to 268,226.50 and 498,413

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Solution

The third proportional to 268,226.50 and 498,413 is: 926,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,226.50 : 498,413 = 498,413 : x
  2. Step 2: Convert to fraction form
    268,226.50/498,413 = 498,413/x
  3. Step 3: Cross multiply
    268,226.50x = 498,413 × 498,413
  4. Step 4: Simplify right side
    268,226.50x = 248,415,518,569
  5. Step 5: Solve for x
    x = 248,415,518,569/268,226.50
  6. Step 6: Final answer
    x = 926,140.85

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.