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Finding the Third Proportional to 461.95 and 715.08

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Solution

The third proportional to 461.95 and 715.08 is: 1,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.95 : 715.08 = 715.08 : x
  2. Step 2: Convert to fraction form
    461.95/715.08 = 715.08/x
  3. Step 3: Cross multiply
    461.95x = 715.08 × 715.08
  4. Step 4: Simplify right side
    461.95x = 511,336.72
  5. Step 5: Solve for x
    x = 511,336.72/461.95
  6. Step 6: Final answer
    x = 1,106.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.