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Finding the Third Proportional to 412,569 and 850,828.50

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Solution

The third proportional to 412,569 and 850,828.50 is: 1,754,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,569 : 850,828.50 = 850,828.50 : x
  2. Step 2: Convert to fraction form
    412,569/850,828.50 = 850,828.50/x
  3. Step 3: Cross multiply
    412,569x = 850,828.50 × 850,828.50
  4. Step 4: Simplify right side
    412,569x = 723,909,136,412.25
  5. Step 5: Solve for x
    x = 723,909,136,412.25/412,569
  6. Step 6: Final answer
    x = 1,754,637.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.