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Finding the Third Proportional to 442,701 and 938,603.50

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Solution

The third proportional to 442,701 and 938,603.50 is: 1,990,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,701 : 938,603.50 = 938,603.50 : x
  2. Step 2: Convert to fraction form
    442,701/938,603.50 = 938,603.50/x
  3. Step 3: Cross multiply
    442,701x = 938,603.50 × 938,603.50
  4. Step 4: Simplify right side
    442,701x = 880,976,530,212.25
  5. Step 5: Solve for x
    x = 880,976,530,212.25/442,701
  6. Step 6: Final answer
    x = 1,990,003.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.