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Finding the Third Proportional to 414,908 and 567,829

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Solution

The third proportional to 414,908 and 567,829 is: 777,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,908 : 567,829 = 567,829 : x
  2. Step 2: Convert to fraction form
    414,908/567,829 = 567,829/x
  3. Step 3: Cross multiply
    414,908x = 567,829 × 567,829
  4. Step 4: Simplify right side
    414,908x = 322,429,773,241
  5. Step 5: Solve for x
    x = 322,429,773,241/414,908
  6. Step 6: Final answer
    x = 777,111.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.