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Finding the Third Proportional to 288,068.63 and 414,972.56

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Solution

The third proportional to 288,068.63 and 414,972.56 is: 597,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,068.63 : 414,972.56 = 414,972.56 : x
  2. Step 2: Convert to fraction form
    288,068.63/414,972.56 = 414,972.56/x
  3. Step 3: Cross multiply
    288,068.63x = 414,972.56 × 414,972.56
  4. Step 4: Simplify right side
    288,068.63x = 172,202,227,627.82
  5. Step 5: Solve for x
    x = 172,202,227,627.82/288,068.63
  6. Step 6: Final answer
    x = 597,781.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.