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Finding the Third Proportional to 244,282 and 538,258

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Solution

The third proportional to 244,282 and 538,258 is: 1,186,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,282 : 538,258 = 538,258 : x
  2. Step 2: Convert to fraction form
    244,282/538,258 = 538,258/x
  3. Step 3: Cross multiply
    244,282x = 538,258 × 538,258
  4. Step 4: Simplify right side
    244,282x = 289,721,674,564
  5. Step 5: Solve for x
    x = 289,721,674,564/244,282
  6. Step 6: Final answer
    x = 1,186,013.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.