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Finding the Third Proportional to 176,585 and 377,407

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Solution

The third proportional to 176,585 and 377,407 is: 806,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,585 : 377,407 = 377,407 : x
  2. Step 2: Convert to fraction form
    176,585/377,407 = 377,407/x
  3. Step 3: Cross multiply
    176,585x = 377,407 × 377,407
  4. Step 4: Simplify right side
    176,585x = 142,436,043,649
  5. Step 5: Solve for x
    x = 142,436,043,649/176,585
  6. Step 6: Final answer
    x = 806,614.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.