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Finding the Third Proportional to 344,904,925 and 520,938,272

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Solution

The third proportional to 344,904,925 and 520,938,272 is: 786,815,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,904,925 : 520,938,272 = 520,938,272 : x
  2. Step 2: Convert to fraction form
    344,904,925/520,938,272 = 520,938,272/x
  3. Step 3: Cross multiply
    344,904,925x = 520,938,272 × 520,938,272
  4. Step 4: Simplify right side
    344,904,925x = 271,376,683,234,345,984
  5. Step 5: Solve for x
    x = 271,376,683,234,345,984/344,904,925
  6. Step 6: Final answer
    x = 786,815,912.34

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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.