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Finding the Third Proportional to 688,136 and 950,879

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Solution

The third proportional to 688,136 and 950,879 is: 1,313,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,136 : 950,879 = 950,879 : x
  2. Step 2: Convert to fraction form
    688,136/950,879 = 950,879/x
  3. Step 3: Cross multiply
    688,136x = 950,879 × 950,879
  4. Step 4: Simplify right side
    688,136x = 904,170,872,641
  5. Step 5: Solve for x
    x = 904,170,872,641/688,136
  6. Step 6: Final answer
    x = 1,313,942.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.