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Finding the Third Proportional to 281,301 and 606,591.75

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Solution

The third proportional to 281,301 and 606,591.75 is: 1,308,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,301 : 606,591.75 = 606,591.75 : x
  2. Step 2: Convert to fraction form
    281,301/606,591.75 = 606,591.75/x
  3. Step 3: Cross multiply
    281,301x = 606,591.75 × 606,591.75
  4. Step 4: Simplify right side
    281,301x = 367,953,551,168.06
  5. Step 5: Solve for x
    x = 367,953,551,168.06/281,301
  6. Step 6: Final answer
    x = 1,308,042.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.