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Finding the Third Proportional to 336,140,984 and 731,177,392

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Solution

The third proportional to 336,140,984 and 731,177,392 is: 1,590,464,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,140,984 : 731,177,392 = 731,177,392 : x
  2. Step 2: Convert to fraction form
    336,140,984/731,177,392 = 731,177,392/x
  3. Step 3: Cross multiply
    336,140,984x = 731,177,392 × 731,177,392
  4. Step 4: Simplify right side
    336,140,984x = 534,620,378,571,921,664
  5. Step 5: Solve for x
    x = 534,620,378,571,921,664/336,140,984
  6. Step 6: Final answer
    x = 1,590,464,727.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.