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Finding the Third Proportional to 395,514.75 and 819,068.25

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Solution

The third proportional to 395,514.75 and 819,068.25 is: 1,696,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,514.75 : 819,068.25 = 819,068.25 : x
  2. Step 2: Convert to fraction form
    395,514.75/819,068.25 = 819,068.25/x
  3. Step 3: Cross multiply
    395,514.75x = 819,068.25 × 819,068.25
  4. Step 4: Simplify right side
    395,514.75x = 670,872,798,158.06
  5. Step 5: Solve for x
    x = 670,872,798,158.06/395,514.75
  6. Step 6: Final answer
    x = 1,696,201.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.