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Finding the Third Proportional to 508,733.25 and 809,801.75

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Solution

The third proportional to 508,733.25 and 809,801.75 is: 1,289,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,733.25 : 809,801.75 = 809,801.75 : x
  2. Step 2: Convert to fraction form
    508,733.25/809,801.75 = 809,801.75/x
  3. Step 3: Cross multiply
    508,733.25x = 809,801.75 × 809,801.75
  4. Step 4: Simplify right side
    508,733.25x = 655,778,874,303.06
  5. Step 5: Solve for x
    x = 655,778,874,303.06/508,733.25
  6. Step 6: Final answer
    x = 1,289,042.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.