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Finding the Third Proportional to 437.83 and 957.88

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Solution

The third proportional to 437.83 and 957.88 is: 2,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.83 : 957.88 = 957.88 : x
  2. Step 2: Convert to fraction form
    437.83/957.88 = 957.88/x
  3. Step 3: Cross multiply
    437.83x = 957.88 × 957.88
  4. Step 4: Simplify right side
    437.83x = 917,534.81
  5. Step 5: Solve for x
    x = 917,534.81/437.83
  6. Step 6: Final answer
    x = 2,095.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.