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Finding the Third Proportional to 199,762 and 432,788

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Solution

The third proportional to 199,762 and 432,788 is: 937,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,762 : 432,788 = 432,788 : x
  2. Step 2: Convert to fraction form
    199,762/432,788 = 432,788/x
  3. Step 3: Cross multiply
    199,762x = 432,788 × 432,788
  4. Step 4: Simplify right side
    199,762x = 187,305,452,944
  5. Step 5: Solve for x
    x = 187,305,452,944/199,762
  6. Step 6: Final answer
    x = 937,643.06

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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.