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Finding the Third Proportional to 507 and 647.25

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Solution

The third proportional to 507 and 647.25 is: 826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 647.25 = 647.25 : x
  2. Step 2: Convert to fraction form
    507/647.25 = 647.25/x
  3. Step 3: Cross multiply
    507x = 647.25 × 647.25
  4. Step 4: Simplify right side
    507x = 418,932.56
  5. Step 5: Solve for x
    x = 418,932.56/507
  6. Step 6: Final answer
    x = 826.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.