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Finding the Third Proportional to 467,048 and 724,668

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Solution

The third proportional to 467,048 and 724,668 is: 1,124,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,048 : 724,668 = 724,668 : x
  2. Step 2: Convert to fraction form
    467,048/724,668 = 724,668/x
  3. Step 3: Cross multiply
    467,048x = 724,668 × 724,668
  4. Step 4: Simplify right side
    467,048x = 525,143,710,224
  5. Step 5: Solve for x
    x = 525,143,710,224/467,048
  6. Step 6: Final answer
    x = 1,124,389.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.