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Finding the Third Proportional to 347,224 and 760,928

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Solution

The third proportional to 347,224 and 760,928 is: 1,667,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,224 : 760,928 = 760,928 : x
  2. Step 2: Convert to fraction form
    347,224/760,928 = 760,928/x
  3. Step 3: Cross multiply
    347,224x = 760,928 × 760,928
  4. Step 4: Simplify right side
    347,224x = 579,011,421,184
  5. Step 5: Solve for x
    x = 579,011,421,184/347,224
  6. Step 6: Final answer
    x = 1,667,544.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.