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Finding the Third Proportional to 461.95 and 953.02

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Solution

The third proportional to 461.95 and 953.02 is: 1,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.95 : 953.02 = 953.02 : x
  2. Step 2: Convert to fraction form
    461.95/953.02 = 953.02/x
  3. Step 3: Cross multiply
    461.95x = 953.02 × 953.02
  4. Step 4: Simplify right side
    461.95x = 908,238.78
  5. Step 5: Solve for x
    x = 908,238.78/461.95
  6. Step 6: Final answer
    x = 1,966.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.