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Finding the Third Proportional to 301,045.50 and 663,525

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Solution

The third proportional to 301,045.50 and 663,525 is: 1,462,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,045.50 : 663,525 = 663,525 : x
  2. Step 2: Convert to fraction form
    301,045.50/663,525 = 663,525/x
  3. Step 3: Cross multiply
    301,045.50x = 663,525 × 663,525
  4. Step 4: Simplify right side
    301,045.50x = 440,265,425,625
  5. Step 5: Solve for x
    x = 440,265,425,625/301,045.50
  6. Step 6: Final answer
    x = 1,462,454.76

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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.