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Finding the Third Proportional to 245,890 and 538,084

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Solution

The third proportional to 245,890 and 538,084 is: 1,177,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,890 : 538,084 = 538,084 : x
  2. Step 2: Convert to fraction form
    245,890/538,084 = 538,084/x
  3. Step 3: Cross multiply
    245,890x = 538,084 × 538,084
  4. Step 4: Simplify right side
    245,890x = 289,534,391,056
  5. Step 5: Solve for x
    x = 289,534,391,056/245,890
  6. Step 6: Final answer
    x = 1,177,495.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.