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Finding the Third Proportional to 260,275.75 and 393,696.38

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Solution

The third proportional to 260,275.75 and 393,696.38 is: 595,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,275.75 : 393,696.38 = 393,696.38 : x
  2. Step 2: Convert to fraction form
    260,275.75/393,696.38 = 393,696.38/x
  3. Step 3: Cross multiply
    260,275.75x = 393,696.38 × 393,696.38
  4. Step 4: Simplify right side
    260,275.75x = 154,996,835,688.14
  5. Step 5: Solve for x
    x = 154,996,835,688.14/260,275.75
  6. Step 6: Final answer
    x = 595,510.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.