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Finding the Third Proportional to 378,897.75 and 562,195.69

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Solution

The third proportional to 378,897.75 and 562,195.69 is: 834,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,897.75 : 562,195.69 = 562,195.69 : x
  2. Step 2: Convert to fraction form
    378,897.75/562,195.69 = 562,195.69/x
  3. Step 3: Cross multiply
    378,897.75x = 562,195.69 × 562,195.69
  4. Step 4: Simplify right side
    378,897.75x = 316,063,991,043.60
  5. Step 5: Solve for x
    x = 316,063,991,043.60/378,897.75
  6. Step 6: Final answer
    x = 834,166.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.