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Finding the Third Proportional to 295,326 and 454,491

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Solution

The third proportional to 295,326 and 454,491 is: 699,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,326 : 454,491 = 454,491 : x
  2. Step 2: Convert to fraction form
    295,326/454,491 = 454,491/x
  3. Step 3: Cross multiply
    295,326x = 454,491 × 454,491
  4. Step 4: Simplify right side
    295,326x = 206,562,069,081
  5. Step 5: Solve for x
    x = 206,562,069,081/295,326
  6. Step 6: Final answer
    x = 699,437.47

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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.