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Finding the Third Proportional to 476.38 and 700.56

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Solution

The third proportional to 476.38 and 700.56 is: 1,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.38 : 700.56 = 700.56 : x
  2. Step 2: Convert to fraction form
    476.38/700.56 = 700.56/x
  3. Step 3: Cross multiply
    476.38x = 700.56 × 700.56
  4. Step 4: Simplify right side
    476.38x = 490,787.82
  5. Step 5: Solve for x
    x = 490,787.82/476.38
  6. Step 6: Final answer
    x = 1,030.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.