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Finding the Third Proportional to 346,299 and 520,450.50

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Solution

The third proportional to 346,299 and 520,450.50 is: 782,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,299 : 520,450.50 = 520,450.50 : x
  2. Step 2: Convert to fraction form
    346,299/520,450.50 = 520,450.50/x
  3. Step 3: Cross multiply
    346,299x = 520,450.50 × 520,450.50
  4. Step 4: Simplify right side
    346,299x = 270,868,722,950.25
  5. Step 5: Solve for x
    x = 270,868,722,950.25/346,299
  6. Step 6: Final answer
    x = 782,181.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.