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Finding the Third Proportional to 662,478.75 and 1,429,933.50

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Solution

The third proportional to 662,478.75 and 1,429,933.50 is: 3,086,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,478.75 : 1,429,933.50 = 1,429,933.50 : x
  2. Step 2: Convert to fraction form
    662,478.75/1,429,933.50 = 1,429,933.50/x
  3. Step 3: Cross multiply
    662,478.75x = 1,429,933.50 × 1,429,933.50
  4. Step 4: Simplify right side
    662,478.75x = 2,044,709,814,422.25
  5. Step 5: Solve for x
    x = 2,044,709,814,422.25/662,478.75
  6. Step 6: Final answer
    x = 3,086,453.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.