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Finding the Third Proportional to 656.02 and 984.66

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Solution

The third proportional to 656.02 and 984.66 is: 1,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.02 : 984.66 = 984.66 : x
  2. Step 2: Convert to fraction form
    656.02/984.66 = 984.66/x
  3. Step 3: Cross multiply
    656.02x = 984.66 × 984.66
  4. Step 4: Simplify right side
    656.02x = 969,547.93
  5. Step 5: Solve for x
    x = 969,547.93/656.02
  6. Step 6: Final answer
    x = 1,477.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.