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Finding the Third Proportional to 233,924 and 507,592

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Solution

The third proportional to 233,924 and 507,592 is: 1,101,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,924 : 507,592 = 507,592 : x
  2. Step 2: Convert to fraction form
    233,924/507,592 = 507,592/x
  3. Step 3: Cross multiply
    233,924x = 507,592 × 507,592
  4. Step 4: Simplify right side
    233,924x = 257,649,638,464
  5. Step 5: Solve for x
    x = 257,649,638,464/233,924
  6. Step 6: Final answer
    x = 1,101,424.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.