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Finding the Third Proportional to 329,297,148 and 715,987,732.50

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Solution

The third proportional to 329,297,148 and 715,987,732.50 is: 1,556,765,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,297,148 : 715,987,732.50 = 715,987,732.50 : x
  2. Step 2: Convert to fraction form
    329,297,148/715,987,732.50 = 715,987,732.50/x
  3. Step 3: Cross multiply
    329,297,148x = 715,987,732.50 × 715,987,732.50
  4. Step 4: Simplify right side
    329,297,148x = 512,638,433,090,491,584
  5. Step 5: Solve for x
    x = 512,638,433,090,491,584/329,297,148
  6. Step 6: Final answer
    x = 1,556,765,481.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.