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Finding the Third Proportional to 230,618 and 500,600

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Solution

The third proportional to 230,618 and 500,600 is: 1,086,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,618 : 500,600 = 500,600 : x
  2. Step 2: Convert to fraction form
    230,618/500,600 = 500,600/x
  3. Step 3: Cross multiply
    230,618x = 500,600 × 500,600
  4. Step 4: Simplify right side
    230,618x = 250,600,360,000
  5. Step 5: Solve for x
    x = 250,600,360,000/230,618
  6. Step 6: Final answer
    x = 1,086,647.01

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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.