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Finding the Third Proportional to 294,676 and 453,201

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Solution

The third proportional to 294,676 and 453,201 is: 697,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,676 : 453,201 = 453,201 : x
  2. Step 2: Convert to fraction form
    294,676/453,201 = 453,201/x
  3. Step 3: Cross multiply
    294,676x = 453,201 × 453,201
  4. Step 4: Simplify right side
    294,676x = 205,391,146,401
  5. Step 5: Solve for x
    x = 205,391,146,401/294,676
  6. Step 6: Final answer
    x = 697,006.70

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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.