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Finding the Third Proportional to 245,024 and 519,424

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Solution

The third proportional to 245,024 and 519,424 is: 1,101,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,024 : 519,424 = 519,424 : x
  2. Step 2: Convert to fraction form
    245,024/519,424 = 519,424/x
  3. Step 3: Cross multiply
    245,024x = 519,424 × 519,424
  4. Step 4: Simplify right side
    245,024x = 269,801,291,776
  5. Step 5: Solve for x
    x = 269,801,291,776/245,024
  6. Step 6: Final answer
    x = 1,101,121.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.