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Finding the Third Proportional to 294,666 and 453,186

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Solution

The third proportional to 294,666 and 453,186 is: 696,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,666 : 453,186 = 453,186 : x
  2. Step 2: Convert to fraction form
    294,666/453,186 = 453,186/x
  3. Step 3: Cross multiply
    294,666x = 453,186 × 453,186
  4. Step 4: Simplify right side
    294,666x = 205,377,550,596
  5. Step 5: Solve for x
    x = 205,377,550,596/294,666
  6. Step 6: Final answer
    x = 696,984.21

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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.