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Finding the Third Proportional to 230,702 and 500,572

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Solution

The third proportional to 230,702 and 500,572 is: 1,086,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,702 : 500,572 = 500,572 : x
  2. Step 2: Convert to fraction form
    230,702/500,572 = 500,572/x
  3. Step 3: Cross multiply
    230,702x = 500,572 × 500,572
  4. Step 4: Simplify right side
    230,702x = 250,572,327,184
  5. Step 5: Solve for x
    x = 250,572,327,184/230,702
  6. Step 6: Final answer
    x = 1,086,129.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.