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Finding the Third Proportional to 313,064 and 475,581

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Solution

The third proportional to 313,064 and 475,581 is: 722,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,064 : 475,581 = 475,581 : x
  2. Step 2: Convert to fraction form
    313,064/475,581 = 475,581/x
  3. Step 3: Cross multiply
    313,064x = 475,581 × 475,581
  4. Step 4: Simplify right side
    313,064x = 226,177,287,561
  5. Step 5: Solve for x
    x = 226,177,287,561/313,064
  6. Step 6: Final answer
    x = 722,463.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.