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Finding the Third Proportional to 233,892 and 507,312

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Solution

The third proportional to 233,892 and 507,312 is: 1,100,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,892 : 507,312 = 507,312 : x
  2. Step 2: Convert to fraction form
    233,892/507,312 = 507,312/x
  3. Step 3: Cross multiply
    233,892x = 507,312 × 507,312
  4. Step 4: Simplify right side
    233,892x = 257,365,465,344
  5. Step 5: Solve for x
    x = 257,365,465,344/233,892
  6. Step 6: Final answer
    x = 1,100,360.27

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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.