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Finding the Third Proportional to 411,009 and 644,917.50

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Solution

The third proportional to 411,009 and 644,917.50 is: 1,011,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,009 : 644,917.50 = 644,917.50 : x
  2. Step 2: Convert to fraction form
    411,009/644,917.50 = 644,917.50/x
  3. Step 3: Cross multiply
    411,009x = 644,917.50 × 644,917.50
  4. Step 4: Simplify right side
    411,009x = 415,918,581,806.25
  5. Step 5: Solve for x
    x = 415,918,581,806.25/411,009
  6. Step 6: Final answer
    x = 1,011,945.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.