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Finding the Third Proportional to 185,487 and 399,773

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Solution

The third proportional to 185,487 and 399,773 is: 861,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,487 : 399,773 = 399,773 : x
  2. Step 2: Convert to fraction form
    185,487/399,773 = 399,773/x
  3. Step 3: Cross multiply
    185,487x = 399,773 × 399,773
  4. Step 4: Simplify right side
    185,487x = 159,818,451,529
  5. Step 5: Solve for x
    x = 159,818,451,529/185,487
  6. Step 6: Final answer
    x = 861,615.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.