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Finding the Third Proportional to 334,672,272 and 724,917,408

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Solution

The third proportional to 334,672,272 and 724,917,408 is: 1,570,208,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,672,272 : 724,917,408 = 724,917,408 : x
  2. Step 2: Convert to fraction form
    334,672,272/724,917,408 = 724,917,408/x
  3. Step 3: Cross multiply
    334,672,272x = 724,917,408 × 724,917,408
  4. Step 4: Simplify right side
    334,672,272x = 525,505,248,421,438,464
  5. Step 5: Solve for x
    x = 525,505,248,421,438,464/334,672,272
  6. Step 6: Final answer
    x = 1,570,208,506.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.