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Finding the Third Proportional to 363,114 and 776,259

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Solution

The third proportional to 363,114 and 776,259 is: 1,659,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,114 : 776,259 = 776,259 : x
  2. Step 2: Convert to fraction form
    363,114/776,259 = 776,259/x
  3. Step 3: Cross multiply
    363,114x = 776,259 × 776,259
  4. Step 4: Simplify right side
    363,114x = 602,578,035,081
  5. Step 5: Solve for x
    x = 602,578,035,081/363,114
  6. Step 6: Final answer
    x = 1,659,473.43

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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.