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Finding the Third Proportional to 245,386 and 501,092

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Solution

The third proportional to 245,386 and 501,092 is: 1,023,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,386 : 501,092 = 501,092 : x
  2. Step 2: Convert to fraction form
    245,386/501,092 = 501,092/x
  3. Step 3: Cross multiply
    245,386x = 501,092 × 501,092
  4. Step 4: Simplify right side
    245,386x = 251,093,192,464
  5. Step 5: Solve for x
    x = 251,093,192,464/245,386
  6. Step 6: Final answer
    x = 1,023,258.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.