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Finding the Third Proportional to 338,532.75 and 525,877.31

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Solution

The third proportional to 338,532.75 and 525,877.31 is: 816,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,532.75 : 525,877.31 = 525,877.31 : x
  2. Step 2: Convert to fraction form
    338,532.75/525,877.31 = 525,877.31/x
  3. Step 3: Cross multiply
    338,532.75x = 525,877.31 × 525,877.31
  4. Step 4: Simplify right side
    338,532.75x = 276,546,947,802.22
  5. Step 5: Solve for x
    x = 276,546,947,802.22/338,532.75
  6. Step 6: Final answer
    x = 816,898.65

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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.