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Finding the Third Proportional to 503,443.50 and 762,477

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Solution

The third proportional to 503,443.50 and 762,477 is: 1,154,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,443.50 : 762,477 = 762,477 : x
  2. Step 2: Convert to fraction form
    503,443.50/762,477 = 762,477/x
  3. Step 3: Cross multiply
    503,443.50x = 762,477 × 762,477
  4. Step 4: Simplify right side
    503,443.50x = 581,371,175,529
  5. Step 5: Solve for x
    x = 581,371,175,529/503,443.50
  6. Step 6: Final answer
    x = 1,154,789.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.