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Finding the Third Proportional to 231,752 and 501,412

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Solution

The third proportional to 231,752 and 501,412 is: 1,084,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,752 : 501,412 = 501,412 : x
  2. Step 2: Convert to fraction form
    231,752/501,412 = 501,412/x
  3. Step 3: Cross multiply
    231,752x = 501,412 × 501,412
  4. Step 4: Simplify right side
    231,752x = 251,413,993,744
  5. Step 5: Solve for x
    x = 251,413,993,744/231,752
  6. Step 6: Final answer
    x = 1,084,840.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.