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Finding the Third Proportional to 907.88 and 1,339.88

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Solution

The third proportional to 907.88 and 1,339.88 is: 1,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.88 : 1,339.88 = 1,339.88 : x
  2. Step 2: Convert to fraction form
    907.88/1,339.88 = 1,339.88/x
  3. Step 3: Cross multiply
    907.88x = 1,339.88 × 1,339.88
  4. Step 4: Simplify right side
    907.88x = 1,795,265.02
  5. Step 5: Solve for x
    x = 1,795,265.02/907.88
  6. Step 6: Final answer
    x = 1,977.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.