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Finding the Third Proportional to 191,011 and 404,786

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Solution

The third proportional to 191,011 and 404,786 is: 857,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,011 : 404,786 = 404,786 : x
  2. Step 2: Convert to fraction form
    191,011/404,786 = 404,786/x
  3. Step 3: Cross multiply
    191,011x = 404,786 × 404,786
  4. Step 4: Simplify right side
    191,011x = 163,851,705,796
  5. Step 5: Solve for x
    x = 163,851,705,796/191,011
  6. Step 6: Final answer
    x = 857,812.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.