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Finding the Third Proportional to 372,904 and 570,191

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Solution

The third proportional to 372,904 and 570,191 is: 871,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,904 : 570,191 = 570,191 : x
  2. Step 2: Convert to fraction form
    372,904/570,191 = 570,191/x
  3. Step 3: Cross multiply
    372,904x = 570,191 × 570,191
  4. Step 4: Simplify right side
    372,904x = 325,117,776,481
  5. Step 5: Solve for x
    x = 325,117,776,481/372,904
  6. Step 6: Final answer
    x = 871,853.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.