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Finding the Third Proportional to 337,618 and 534,617

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Solution

The third proportional to 337,618 and 534,617 is: 846,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,618 : 534,617 = 534,617 : x
  2. Step 2: Convert to fraction form
    337,618/534,617 = 534,617/x
  3. Step 3: Cross multiply
    337,618x = 534,617 × 534,617
  4. Step 4: Simplify right side
    337,618x = 285,815,336,689
  5. Step 5: Solve for x
    x = 285,815,336,689/337,618
  6. Step 6: Final answer
    x = 846,564.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.