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Finding the Third Proportional to 311,554.50 and 733,518

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Solution

The third proportional to 311,554.50 and 733,518 is: 1,726,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,554.50 : 733,518 = 733,518 : x
  2. Step 2: Convert to fraction form
    311,554.50/733,518 = 733,518/x
  3. Step 3: Cross multiply
    311,554.50x = 733,518 × 733,518
  4. Step 4: Simplify right side
    311,554.50x = 538,048,656,324
  5. Step 5: Solve for x
    x = 538,048,656,324/311,554.50
  6. Step 6: Final answer
    x = 1,726,980.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.