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Finding the Third Proportional to 294,939 and 453,951

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Solution

The third proportional to 294,939 and 453,951 is: 698,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,939 : 453,951 = 453,951 : x
  2. Step 2: Convert to fraction form
    294,939/453,951 = 453,951/x
  3. Step 3: Cross multiply
    294,939x = 453,951 × 453,951
  4. Step 4: Simplify right side
    294,939x = 206,071,510,401
  5. Step 5: Solve for x
    x = 206,071,510,401/294,939
  6. Step 6: Final answer
    x = 698,691.97

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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.