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Finding the Third Proportional to 445,592.25 and 670,518

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Solution

The third proportional to 445,592.25 and 670,518 is: 1,008,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,592.25 : 670,518 = 670,518 : x
  2. Step 2: Convert to fraction form
    445,592.25/670,518 = 670,518/x
  3. Step 3: Cross multiply
    445,592.25x = 670,518 × 670,518
  4. Step 4: Simplify right side
    445,592.25x = 449,594,388,324
  5. Step 5: Solve for x
    x = 449,594,388,324/445,592.25
  6. Step 6: Final answer
    x = 1,008,981.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.