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Finding the Third Proportional to 237,424 and 501,334

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Solution

The third proportional to 237,424 and 501,334 is: 1,058,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,424 : 501,334 = 501,334 : x
  2. Step 2: Convert to fraction form
    237,424/501,334 = 501,334/x
  3. Step 3: Cross multiply
    237,424x = 501,334 × 501,334
  4. Step 4: Simplify right side
    237,424x = 251,335,779,556
  5. Step 5: Solve for x
    x = 251,335,779,556/237,424
  6. Step 6: Final answer
    x = 1,058,594.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.