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Finding the Third Proportional to 349,668 and 724,224

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Solution

The third proportional to 349,668 and 724,224 is: 1,499,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,668 : 724,224 = 724,224 : x
  2. Step 2: Convert to fraction form
    349,668/724,224 = 724,224/x
  3. Step 3: Cross multiply
    349,668x = 724,224 × 724,224
  4. Step 4: Simplify right side
    349,668x = 524,500,402,176
  5. Step 5: Solve for x
    x = 524,500,402,176/349,668
  6. Step 6: Final answer
    x = 1,499,995.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.