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Finding the Third Proportional to 264.71 and 570.36

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Solution

The third proportional to 264.71 and 570.36 is: 1,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.71 : 570.36 = 570.36 : x
  2. Step 2: Convert to fraction form
    264.71/570.36 = 570.36/x
  3. Step 3: Cross multiply
    264.71x = 570.36 × 570.36
  4. Step 4: Simplify right side
    264.71x = 325,312.60
  5. Step 5: Solve for x
    x = 325,312.60/264.71
  6. Step 6: Final answer
    x = 1,228.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.