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Finding the Third Proportional to 378,237.75 and 819,514.50

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Solution

The third proportional to 378,237.75 and 819,514.50 is: 1,775,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,237.75 : 819,514.50 = 819,514.50 : x
  2. Step 2: Convert to fraction form
    378,237.75/819,514.50 = 819,514.50/x
  3. Step 3: Cross multiply
    378,237.75x = 819,514.50 × 819,514.50
  4. Step 4: Simplify right side
    378,237.75x = 671,604,015,710.25
  5. Step 5: Solve for x
    x = 671,604,015,710.25/378,237.75
  6. Step 6: Final answer
    x = 1,775,613.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.