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Finding the Third Proportional to 907.88 and 1,604.81

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Solution

The third proportional to 907.88 and 1,604.81 is: 2,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.88 : 1,604.81 = 1,604.81 : x
  2. Step 2: Convert to fraction form
    907.88/1,604.81 = 1,604.81/x
  3. Step 3: Cross multiply
    907.88x = 1,604.81 × 1,604.81
  4. Step 4: Simplify right side
    907.88x = 2,575,423.16
  5. Step 5: Solve for x
    x = 2,575,423.16/907.88
  6. Step 6: Final answer
    x = 2,836.76

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.