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Finding the Third Proportional to 572.91 and 882.77

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Solution

The third proportional to 572.91 and 882.77 is: 1,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.91 : 882.77 = 882.77 : x
  2. Step 2: Convert to fraction form
    572.91/882.77 = 882.77/x
  3. Step 3: Cross multiply
    572.91x = 882.77 × 882.77
  4. Step 4: Simplify right side
    572.91x = 779,288.94
  5. Step 5: Solve for x
    x = 779,288.94/572.91
  6. Step 6: Final answer
    x = 1,360.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.