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Finding the Third Proportional to 374.84 and 875.53

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Solution

The third proportional to 374.84 and 875.53 is: 2,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.84 : 875.53 = 875.53 : x
  2. Step 2: Convert to fraction form
    374.84/875.53 = 875.53/x
  3. Step 3: Cross multiply
    374.84x = 875.53 × 875.53
  4. Step 4: Simplify right side
    374.84x = 766,554.97
  5. Step 5: Solve for x
    x = 766,554.97/374.84
  6. Step 6: Final answer
    x = 2,045.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.