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Finding the Third Proportional to 433,611 and 667,312.50

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Solution

The third proportional to 433,611 and 667,312.50 is: 1,026,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,611 : 667,312.50 = 667,312.50 : x
  2. Step 2: Convert to fraction form
    433,611/667,312.50 = 667,312.50/x
  3. Step 3: Cross multiply
    433,611x = 667,312.50 × 667,312.50
  4. Step 4: Simplify right side
    433,611x = 445,305,972,656.25
  5. Step 5: Solve for x
    x = 445,305,972,656.25/433,611
  6. Step 6: Final answer
    x = 1,026,971.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.