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Finding the Third Proportional to 339,318,720 and 522,205,056

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Solution

The third proportional to 339,318,720 and 522,205,056 is: 803,663,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,318,720 : 522,205,056 = 522,205,056 : x
  2. Step 2: Convert to fraction form
    339,318,720/522,205,056 = 522,205,056/x
  3. Step 3: Cross multiply
    339,318,720x = 522,205,056 × 522,205,056
  4. Step 4: Simplify right side
    339,318,720x = 272,698,120,511,963,136
  5. Step 5: Solve for x
    x = 272,698,120,511,963,136/339,318,720
  6. Step 6: Final answer
    x = 803,663,648.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.