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Finding the Third Proportional to 388.88 and 907.13

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Solution

The third proportional to 388.88 and 907.13 is: 2,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.88 : 907.13 = 907.13 : x
  2. Step 2: Convert to fraction form
    388.88/907.13 = 907.13/x
  3. Step 3: Cross multiply
    388.88x = 907.13 × 907.13
  4. Step 4: Simplify right side
    388.88x = 822,875.77
  5. Step 5: Solve for x
    x = 822,875.77/388.88
  6. Step 6: Final answer
    x = 2,116.04

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.