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Finding the Third Proportional to 688,132 and 950,873

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Solution

The third proportional to 688,132 and 950,873 is: 1,313,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,132 : 950,873 = 950,873 : x
  2. Step 2: Convert to fraction form
    688,132/950,873 = 950,873/x
  3. Step 3: Cross multiply
    688,132x = 950,873 × 950,873
  4. Step 4: Simplify right side
    688,132x = 904,159,462,129
  5. Step 5: Solve for x
    x = 904,159,462,129/688,132
  6. Step 6: Final answer
    x = 1,313,933.17

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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.