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Finding the Third Proportional to 434.95 and 900.14

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Solution

The third proportional to 434.95 and 900.14 is: 1,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.95 : 900.14 = 900.14 : x
  2. Step 2: Convert to fraction form
    434.95/900.14 = 900.14/x
  3. Step 3: Cross multiply
    434.95x = 900.14 × 900.14
  4. Step 4: Simplify right side
    434.95x = 810,253.14
  5. Step 5: Solve for x
    x = 810,253.14/434.95
  6. Step 6: Final answer
    x = 1,862.85

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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.