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Finding the Third Proportional to 245,402 and 519,098

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Solution

The third proportional to 245,402 and 519,098 is: 1,098,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,402 : 519,098 = 519,098 : x
  2. Step 2: Convert to fraction form
    245,402/519,098 = 519,098/x
  3. Step 3: Cross multiply
    245,402x = 519,098 × 519,098
  4. Step 4: Simplify right side
    245,402x = 269,462,733,604
  5. Step 5: Solve for x
    x = 269,462,733,604/245,402
  6. Step 6: Final answer
    x = 1,098,046.20

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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.