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Finding the Third Proportional to 338,666,400 and 718,027,296

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Solution

The third proportional to 338,666,400 and 718,027,296 is: 1,522,333,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,666,400 : 718,027,296 = 718,027,296 : x
  2. Step 2: Convert to fraction form
    338,666,400/718,027,296 = 718,027,296/x
  3. Step 3: Cross multiply
    338,666,400x = 718,027,296 × 718,027,296
  4. Step 4: Simplify right side
    338,666,400x = 515,563,197,801,071,616
  5. Step 5: Solve for x
    x = 515,563,197,801,071,616/338,666,400
  6. Step 6: Final answer
    x = 1,522,333,475.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.