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Finding the Third Proportional to 393,006 and 842,035.50

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Solution

The third proportional to 393,006 and 842,035.50 is: 1,804,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,006 : 842,035.50 = 842,035.50 : x
  2. Step 2: Convert to fraction form
    393,006/842,035.50 = 842,035.50/x
  3. Step 3: Cross multiply
    393,006x = 842,035.50 × 842,035.50
  4. Step 4: Simplify right side
    393,006x = 709,023,783,260.25
  5. Step 5: Solve for x
    x = 709,023,783,260.25/393,006
  6. Step 6: Final answer
    x = 1,804,104.22

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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.