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Finding the Third Proportional to 570.24 and 832.94

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Solution

The third proportional to 570.24 and 832.94 is: 1,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 832.94 = 832.94 : x
  2. Step 2: Convert to fraction form
    570.24/832.94 = 832.94/x
  3. Step 3: Cross multiply
    570.24x = 832.94 × 832.94
  4. Step 4: Simplify right side
    570.24x = 693,788.13
  5. Step 5: Solve for x
    x = 693,788.13/570.24
  6. Step 6: Final answer
    x = 1,216.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.