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Finding the Third Proportional to 414,243 and 893,677.50

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Solution

The third proportional to 414,243 and 893,677.50 is: 1,927,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,243 : 893,677.50 = 893,677.50 : x
  2. Step 2: Convert to fraction form
    414,243/893,677.50 = 893,677.50/x
  3. Step 3: Cross multiply
    414,243x = 893,677.50 × 893,677.50
  4. Step 4: Simplify right side
    414,243x = 798,659,474,006.25
  5. Step 5: Solve for x
    x = 798,659,474,006.25/414,243
  6. Step 6: Final answer
    x = 1,927,997.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.