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Finding the Third Proportional to 501,201 and 724,149

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Solution

The third proportional to 501,201 and 724,149 is: 1,046,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,201 : 724,149 = 724,149 : x
  2. Step 2: Convert to fraction form
    501,201/724,149 = 724,149/x
  3. Step 3: Cross multiply
    501,201x = 724,149 × 724,149
  4. Step 4: Simplify right side
    501,201x = 524,391,774,201
  5. Step 5: Solve for x
    x = 524,391,774,201/501,201
  6. Step 6: Final answer
    x = 1,046,270.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.