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Finding the Third Proportional to 306,095.63 and 664,621.88

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Solution

The third proportional to 306,095.63 and 664,621.88 is: 1,443,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,095.63 : 664,621.88 = 664,621.88 : x
  2. Step 2: Convert to fraction form
    306,095.63/664,621.88 = 664,621.88/x
  3. Step 3: Cross multiply
    306,095.63x = 664,621.88 × 664,621.88
  4. Step 4: Simplify right side
    306,095.63x = 441,722,236,728.52
  5. Step 5: Solve for x
    x = 441,722,236,728.52/306,095.63
  6. Step 6: Final answer
    x = 1,443,085.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.