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Finding the Third Proportional to 233,428.50 and 512,577

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Solution

The third proportional to 233,428.50 and 512,577 is: 1,125,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,428.50 : 512,577 = 512,577 : x
  2. Step 2: Convert to fraction form
    233,428.50/512,577 = 512,577/x
  3. Step 3: Cross multiply
    233,428.50x = 512,577 × 512,577
  4. Step 4: Simplify right side
    233,428.50x = 262,735,180,929
  5. Step 5: Solve for x
    x = 262,735,180,929/233,428.50
  6. Step 6: Final answer
    x = 1,125,548.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.