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Finding the Third Proportional to 688,152 and 950,901

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Solution

The third proportional to 688,152 and 950,901 is: 1,313,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,152 : 950,901 = 950,901 : x
  2. Step 2: Convert to fraction form
    688,152/950,901 = 950,901/x
  3. Step 3: Cross multiply
    688,152x = 950,901 × 950,901
  4. Step 4: Simplify right side
    688,152x = 904,212,711,801
  5. Step 5: Solve for x
    x = 904,212,711,801/688,152
  6. Step 6: Final answer
    x = 1,313,972.37

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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.