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Finding the Third Proportional to 424,254 and 613,533

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Solution

The third proportional to 424,254 and 613,533 is: 887,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,254 : 613,533 = 613,533 : x
  2. Step 2: Convert to fraction form
    424,254/613,533 = 613,533/x
  3. Step 3: Cross multiply
    424,254x = 613,533 × 613,533
  4. Step 4: Simplify right side
    424,254x = 376,422,742,089
  5. Step 5: Solve for x
    x = 376,422,742,089/424,254
  6. Step 6: Final answer
    x = 887,257.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.