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Finding the Third Proportional to 567,618 and 853,818

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Solution

The third proportional to 567,618 and 853,818 is: 1,284,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,618 : 853,818 = 853,818 : x
  2. Step 2: Convert to fraction form
    567,618/853,818 = 853,818/x
  3. Step 3: Cross multiply
    567,618x = 853,818 × 853,818
  4. Step 4: Simplify right side
    567,618x = 729,005,177,124
  5. Step 5: Solve for x
    x = 729,005,177,124/567,618
  6. Step 6: Final answer
    x = 1,284,323.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.