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Finding the Third Proportional to 191,636 and 407,464

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Solution

The third proportional to 191,636 and 407,464 is: 866,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,636 : 407,464 = 407,464 : x
  2. Step 2: Convert to fraction form
    191,636/407,464 = 407,464/x
  3. Step 3: Cross multiply
    191,636x = 407,464 × 407,464
  4. Step 4: Simplify right side
    191,636x = 166,026,911,296
  5. Step 5: Solve for x
    x = 166,026,911,296/191,636
  6. Step 6: Final answer
    x = 866,365.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.