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Finding the Third Proportional to 336,141,024 and 731,177,472

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Solution

The third proportional to 336,141,024 and 731,177,472 is: 1,590,464,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,141,024 : 731,177,472 = 731,177,472 : x
  2. Step 2: Convert to fraction form
    336,141,024/731,177,472 = 731,177,472/x
  3. Step 3: Cross multiply
    336,141,024x = 731,177,472 × 731,177,472
  4. Step 4: Simplify right side
    336,141,024x = 534,620,495,560,310,784
  5. Step 5: Solve for x
    x = 534,620,495,560,310,784/336,141,024
  6. Step 6: Final answer
    x = 1,590,464,886.43

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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.