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Finding the Third Proportional to 337,480 and 501,032

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Solution

The third proportional to 337,480 and 501,032 is: 743,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,480 : 501,032 = 501,032 : x
  2. Step 2: Convert to fraction form
    337,480/501,032 = 501,032/x
  3. Step 3: Cross multiply
    337,480x = 501,032 × 501,032
  4. Step 4: Simplify right side
    337,480x = 251,033,065,024
  5. Step 5: Solve for x
    x = 251,033,065,024/337,480
  6. Step 6: Final answer
    x = 743,845.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.