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Finding the Third Proportional to 907.69 and 1,326.47

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Solution

The third proportional to 907.69 and 1,326.47 is: 1,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.69 : 1,326.47 = 1,326.47 : x
  2. Step 2: Convert to fraction form
    907.69/1,326.47 = 1,326.47/x
  3. Step 3: Cross multiply
    907.69x = 1,326.47 × 1,326.47
  4. Step 4: Simplify right side
    907.69x = 1,759,519.34
  5. Step 5: Solve for x
    x = 1,759,519.34/907.69
  6. Step 6: Final answer
    x = 1,938.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.