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Finding the Third Proportional to 268,234 and 498,428

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Solution

The third proportional to 268,234 and 498,428 is: 926,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,234 : 498,428 = 498,428 : x
  2. Step 2: Convert to fraction form
    268,234/498,428 = 498,428/x
  3. Step 3: Cross multiply
    268,234x = 498,428 × 498,428
  4. Step 4: Simplify right side
    268,234x = 248,430,471,184
  5. Step 5: Solve for x
    x = 248,430,471,184/268,234
  6. Step 6: Final answer
    x = 926,170.70

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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.