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Finding the Third Proportional to 421.13 and 907.38

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Solution

The third proportional to 421.13 and 907.38 is: 1,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.13 : 907.38 = 907.38 : x
  2. Step 2: Convert to fraction form
    421.13/907.38 = 907.38/x
  3. Step 3: Cross multiply
    421.13x = 907.38 × 907.38
  4. Step 4: Simplify right side
    421.13x = 823,329.39
  5. Step 5: Solve for x
    x = 823,329.39/421.13
  6. Step 6: Final answer
    x = 1,955.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.