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Finding the Third Proportional to 385,607.50 and 835,569

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Solution

The third proportional to 385,607.50 and 835,569 is: 1,810,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,607.50 : 835,569 = 835,569 : x
  2. Step 2: Convert to fraction form
    385,607.50/835,569 = 835,569/x
  3. Step 3: Cross multiply
    385,607.50x = 835,569 × 835,569
  4. Step 4: Simplify right side
    385,607.50x = 698,175,553,761
  5. Step 5: Solve for x
    x = 698,175,553,761/385,607.50
  6. Step 6: Final answer
    x = 1,810,586.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.