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Finding the Third Proportional to 338,559.75 and 525,921.19

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Solution

The third proportional to 338,559.75 and 525,921.19 is: 816,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,559.75 : 525,921.19 = 525,921.19 : x
  2. Step 2: Convert to fraction form
    338,559.75/525,921.19 = 525,921.19/x
  3. Step 3: Cross multiply
    338,559.75x = 525,921.19 × 525,921.19
  4. Step 4: Simplify right side
    338,559.75x = 276,593,095,461.41
  5. Step 5: Solve for x
    x = 276,593,095,461.41/338,559.75
  6. Step 6: Final answer
    x = 816,969.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.