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Finding the Third Proportional to 404,007,175.41 and 568,683,207.84

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Solution

The third proportional to 404,007,175.41 and 568,683,207.84 is: 800,482,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,007,175.41 : 568,683,207.84 = 568,683,207.84 : x
  2. Step 2: Convert to fraction form
    404,007,175.41/568,683,207.84 = 568,683,207.84/x
  3. Step 3: Cross multiply
    404,007,175.41x = 568,683,207.84 × 568,683,207.84
  4. Step 4: Simplify right side
    404,007,175.41x = 323,400,590,883,457,792
  5. Step 5: Solve for x
    x = 323,400,590,883,457,792/404,007,175.41
  6. Step 6: Final answer
    x = 800,482,294.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.