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Finding the Third Proportional to 320,857,771 and 702,997,307

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Solution

The third proportional to 320,857,771 and 702,997,307 is: 1,540,262,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,857,771 : 702,997,307 = 702,997,307 : x
  2. Step 2: Convert to fraction form
    320,857,771/702,997,307 = 702,997,307/x
  3. Step 3: Cross multiply
    320,857,771x = 702,997,307 × 702,997,307
  4. Step 4: Simplify right side
    320,857,771x = 494,205,213,649,252,224
  5. Step 5: Solve for x
    x = 494,205,213,649,252,224/320,857,771
  6. Step 6: Final answer
    x = 1,540,262,565.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.