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Finding the Third Proportional to 233,148 and 498,288

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Solution

The third proportional to 233,148 and 498,288 is: 1,064,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,148 : 498,288 = 498,288 : x
  2. Step 2: Convert to fraction form
    233,148/498,288 = 498,288/x
  3. Step 3: Cross multiply
    233,148x = 498,288 × 498,288
  4. Step 4: Simplify right side
    233,148x = 248,290,930,944
  5. Step 5: Solve for x
    x = 248,290,930,944/233,148
  6. Step 6: Final answer
    x = 1,064,949.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.