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Finding the Third Proportional to 294,672 and 453,195

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Solution

The third proportional to 294,672 and 453,195 is: 696,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,672 : 453,195 = 453,195 : x
  2. Step 2: Convert to fraction form
    294,672/453,195 = 453,195/x
  3. Step 3: Cross multiply
    294,672x = 453,195 × 453,195
  4. Step 4: Simplify right side
    294,672x = 205,385,708,025
  5. Step 5: Solve for x
    x = 205,385,708,025/294,672
  6. Step 6: Final answer
    x = 696,997.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.