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Finding the Third Proportional to 338,094,411.75 and 509,802,261.75

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Solution

The third proportional to 338,094,411.75 and 509,802,261.75 is: 768,715,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,094,411.75 : 509,802,261.75 = 509,802,261.75 : x
  2. Step 2: Convert to fraction form
    338,094,411.75/509,802,261.75 = 509,802,261.75/x
  3. Step 3: Cross multiply
    338,094,411.75x = 509,802,261.75 × 509,802,261.75
  4. Step 4: Simplify right side
    338,094,411.75x = 259,898,346,085,415,520
  5. Step 5: Solve for x
    x = 259,898,346,085,415,520/338,094,411.75
  6. Step 6: Final answer
    x = 768,715,296.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.