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Finding the Third Proportional to 344,904,923 and 520,938,269

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Solution

The third proportional to 344,904,923 and 520,938,269 is: 786,815,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,904,923 : 520,938,269 = 520,938,269 : x
  2. Step 2: Convert to fraction form
    344,904,923/520,938,269 = 520,938,269/x
  3. Step 3: Cross multiply
    344,904,923x = 520,938,269 × 520,938,269
  4. Step 4: Simplify right side
    344,904,923x = 271,376,680,108,716,352
  5. Step 5: Solve for x
    x = 271,376,680,108,716,352/344,904,923
  6. Step 6: Final answer
    x = 786,815,907.84

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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.