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Finding the Third Proportional to 257,907.38 and 560,283.75

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Solution

The third proportional to 257,907.38 and 560,283.75 is: 1,217,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,907.38 : 560,283.75 = 560,283.75 : x
  2. Step 2: Convert to fraction form
    257,907.38/560,283.75 = 560,283.75/x
  3. Step 3: Cross multiply
    257,907.38x = 560,283.75 × 560,283.75
  4. Step 4: Simplify right side
    257,907.38x = 313,917,880,514.06
  5. Step 5: Solve for x
    x = 313,917,880,514.06/257,907.38
  6. Step 6: Final answer
    x = 1,217,172.95

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