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Finding the Third Proportional to 420 and 924.75

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Solution

The third proportional to 420 and 924.75 is: 2,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 924.75 = 924.75 : x
  2. Step 2: Convert to fraction form
    420/924.75 = 924.75/x
  3. Step 3: Cross multiply
    420x = 924.75 × 924.75
  4. Step 4: Simplify right side
    420x = 855,162.56
  5. Step 5: Solve for x
    x = 855,162.56/420
  6. Step 6: Final answer
    x = 2,036.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.