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Finding the Third Proportional to 459.42 and 957.76

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Solution

The third proportional to 459.42 and 957.76 is: 1,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 957.76 = 957.76 : x
  2. Step 2: Convert to fraction form
    459.42/957.76 = 957.76/x
  3. Step 3: Cross multiply
    459.42x = 957.76 × 957.76
  4. Step 4: Simplify right side
    459.42x = 917,307.51
  5. Step 5: Solve for x
    x = 917,307.51/459.42
  6. Step 6: Final answer
    x = 1,996.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.