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Finding the Third Proportional to 281,746 and 413,996

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Solution

The third proportional to 281,746 and 413,996 is: 608,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,746 : 413,996 = 413,996 : x
  2. Step 2: Convert to fraction form
    281,746/413,996 = 413,996/x
  3. Step 3: Cross multiply
    281,746x = 413,996 × 413,996
  4. Step 4: Simplify right side
    281,746x = 171,392,688,016
  5. Step 5: Solve for x
    x = 171,392,688,016/281,746
  6. Step 6: Final answer
    x = 608,323.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.