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Finding the Third Proportional to 291,684,304 and 451,500,648

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Solution

The third proportional to 291,684,304 and 451,500,648 is: 698,881,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,684,304 : 451,500,648 = 451,500,648 : x
  2. Step 2: Convert to fraction form
    291,684,304/451,500,648 = 451,500,648/x
  3. Step 3: Cross multiply
    291,684,304x = 451,500,648 × 451,500,648
  4. Step 4: Simplify right side
    291,684,304x = 203,852,835,144,419,904
  5. Step 5: Solve for x
    x = 203,852,835,144,419,904/291,684,304
  6. Step 6: Final answer
    x = 698,881,744.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.