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Finding the Third Proportional to 277,704,696 and 597,202,881

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Solution

The third proportional to 277,704,696 and 597,202,881 is: 1,284,282,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,704,696 : 597,202,881 = 597,202,881 : x
  2. Step 2: Convert to fraction form
    277,704,696/597,202,881 = 597,202,881/x
  3. Step 3: Cross multiply
    277,704,696x = 597,202,881 × 597,202,881
  4. Step 4: Simplify right side
    277,704,696x = 356,651,281,074,700,160
  5. Step 5: Solve for x
    x = 356,651,281,074,700,160/277,704,696
  6. Step 6: Final answer
    x = 1,284,282,499.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.