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Finding the Third Proportional to 501,212 and 724,163

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Solution

The third proportional to 501,212 and 724,163 is: 1,046,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,212 : 724,163 = 724,163 : x
  2. Step 2: Convert to fraction form
    501,212/724,163 = 724,163/x
  3. Step 3: Cross multiply
    501,212x = 724,163 × 724,163
  4. Step 4: Simplify right side
    501,212x = 524,412,050,569
  5. Step 5: Solve for x
    x = 524,412,050,569/501,212
  6. Step 6: Final answer
    x = 1,046,287.90

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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.