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Finding the Third Proportional to 247,146 and 509,049

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Solution

The third proportional to 247,146 and 509,049 is: 1,048,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,146 : 509,049 = 509,049 : x
  2. Step 2: Convert to fraction form
    247,146/509,049 = 509,049/x
  3. Step 3: Cross multiply
    247,146x = 509,049 × 509,049
  4. Step 4: Simplify right side
    247,146x = 259,130,884,401
  5. Step 5: Solve for x
    x = 259,130,884,401/247,146
  6. Step 6: Final answer
    x = 1,048,493.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.