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Finding the Third Proportional to 295,458.50 and 485,413

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Solution

The third proportional to 295,458.50 and 485,413 is: 797,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,458.50 : 485,413 = 485,413 : x
  2. Step 2: Convert to fraction form
    295,458.50/485,413 = 485,413/x
  3. Step 3: Cross multiply
    295,458.50x = 485,413 × 485,413
  4. Step 4: Simplify right side
    295,458.50x = 235,625,780,569
  5. Step 5: Solve for x
    x = 235,625,780,569/295,458.50
  6. Step 6: Final answer
    x = 797,491.97

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.