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Finding the Third Proportional to 785,329.50 and 1,200,828

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Solution

The third proportional to 785,329.50 and 1,200,828 is: 1,836,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,329.50 : 1,200,828 = 1,200,828 : x
  2. Step 2: Convert to fraction form
    785,329.50/1,200,828 = 1,200,828/x
  3. Step 3: Cross multiply
    785,329.50x = 1,200,828 × 1,200,828
  4. Step 4: Simplify right side
    785,329.50x = 1,441,987,885,584
  5. Step 5: Solve for x
    x = 1,441,987,885,584/785,329.50
  6. Step 6: Final answer
    x = 1,836,156.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.