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Finding the Third Proportional to 575.86 and 927.07

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Solution

The third proportional to 575.86 and 927.07 is: 1,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.86 : 927.07 = 927.07 : x
  2. Step 2: Convert to fraction form
    575.86/927.07 = 927.07/x
  3. Step 3: Cross multiply
    575.86x = 927.07 × 927.07
  4. Step 4: Simplify right side
    575.86x = 859,459.36
  5. Step 5: Solve for x
    x = 859,459.36/575.86
  6. Step 6: Final answer
    x = 1,492.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.