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Finding the Third Proportional to 365,232 and 740,508

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Solution

The third proportional to 365,232 and 740,508 is: 1,501,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,232 : 740,508 = 740,508 : x
  2. Step 2: Convert to fraction form
    365,232/740,508 = 740,508/x
  3. Step 3: Cross multiply
    365,232x = 740,508 × 740,508
  4. Step 4: Simplify right side
    365,232x = 548,352,098,064
  5. Step 5: Solve for x
    x = 548,352,098,064/365,232
  6. Step 6: Final answer
    x = 1,501,380.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.