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Finding the Third Proportional to 233,800 and 507,452

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Solution

The third proportional to 233,800 and 507,452 is: 1,101,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,800 : 507,452 = 507,452 : x
  2. Step 2: Convert to fraction form
    233,800/507,452 = 507,452/x
  3. Step 3: Cross multiply
    233,800x = 507,452 × 507,452
  4. Step 4: Simplify right side
    233,800x = 257,507,532,304
  5. Step 5: Solve for x
    x = 257,507,532,304/233,800
  6. Step 6: Final answer
    x = 1,101,400.91

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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.