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Finding the Third Proportional to 333,606,261 and 694,824,536.25

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Solution

The third proportional to 333,606,261 and 694,824,536.25 is: 1,447,158,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,606,261 : 694,824,536.25 = 694,824,536.25 : x
  2. Step 2: Convert to fraction form
    333,606,261/694,824,536.25 = 694,824,536.25/x
  3. Step 3: Cross multiply
    333,606,261x = 694,824,536.25 × 694,824,536.25
  4. Step 4: Simplify right side
    333,606,261x = 482,781,136,175,027,584
  5. Step 5: Solve for x
    x = 482,781,136,175,027,584/333,606,261
  6. Step 6: Final answer
    x = 1,447,158,499.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.