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Finding the Third Proportional to 341,025,714 and 739,402,263

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Solution

The third proportional to 341,025,714 and 739,402,263 is: 1,603,150,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,025,714 : 739,402,263 = 739,402,263 : x
  2. Step 2: Convert to fraction form
    341,025,714/739,402,263 = 739,402,263/x
  3. Step 3: Cross multiply
    341,025,714x = 739,402,263 × 739,402,263
  4. Step 4: Simplify right side
    341,025,714x = 546,715,706,529,521,152
  5. Step 5: Solve for x
    x = 546,715,706,529,521,152/341,025,714
  6. Step 6: Final answer
    x = 1,603,150,976.85

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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.