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Finding the Third Proportional to 247,906 and 508,996

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Solution

The third proportional to 247,906 and 508,996 is: 1,045,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,906 : 508,996 = 508,996 : x
  2. Step 2: Convert to fraction form
    247,906/508,996 = 508,996/x
  3. Step 3: Cross multiply
    247,906x = 508,996 × 508,996
  4. Step 4: Simplify right side
    247,906x = 259,076,928,016
  5. Step 5: Solve for x
    x = 259,076,928,016/247,906
  6. Step 6: Final answer
    x = 1,045,061.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.