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Finding the Third Proportional to 362,618 and 777,684

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Solution

The third proportional to 362,618 and 777,684 is: 1,667,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,618 : 777,684 = 777,684 : x
  2. Step 2: Convert to fraction form
    362,618/777,684 = 777,684/x
  3. Step 3: Cross multiply
    362,618x = 777,684 × 777,684
  4. Step 4: Simplify right side
    362,618x = 604,792,403,856
  5. Step 5: Solve for x
    x = 604,792,403,856/362,618
  6. Step 6: Final answer
    x = 1,667,849.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.