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Finding the Third Proportional to 355,808 and 777,279

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Solution

The third proportional to 355,808 and 777,279 is: 1,698,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,808 : 777,279 = 777,279 : x
  2. Step 2: Convert to fraction form
    355,808/777,279 = 777,279/x
  3. Step 3: Cross multiply
    355,808x = 777,279 × 777,279
  4. Step 4: Simplify right side
    355,808x = 604,162,643,841
  5. Step 5: Solve for x
    x = 604,162,643,841/355,808
  6. Step 6: Final answer
    x = 1,698,001.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.