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Finding the Third Proportional to 977.48 and 1,460.95

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Solution

The third proportional to 977.48 and 1,460.95 is: 2,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.48 : 1,460.95 = 1,460.95 : x
  2. Step 2: Convert to fraction form
    977.48/1,460.95 = 1,460.95/x
  3. Step 3: Cross multiply
    977.48x = 1,460.95 × 1,460.95
  4. Step 4: Simplify right side
    977.48x = 2,134,384.03
  5. Step 5: Solve for x
    x = 2,134,384.03/977.48
  6. Step 6: Final answer
    x = 2,183.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.