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Finding the Third Proportional to 434.53 and 897.84

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Solution

The third proportional to 434.53 and 897.84 is: 1,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.53 : 897.84 = 897.84 : x
  2. Step 2: Convert to fraction form
    434.53/897.84 = 897.84/x
  3. Step 3: Cross multiply
    434.53x = 897.84 × 897.84
  4. Step 4: Simplify right side
    434.53x = 806,123.40
  5. Step 5: Solve for x
    x = 806,123.40/434.53
  6. Step 6: Final answer
    x = 1,855.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.