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Finding the Third Proportional to 319,443,702 and 687,307,596

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Solution

The third proportional to 319,443,702 and 687,307,596 is: 1,478,794,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,443,702 : 687,307,596 = 687,307,596 : x
  2. Step 2: Convert to fraction form
    319,443,702/687,307,596 = 687,307,596/x
  3. Step 3: Cross multiply
    319,443,702x = 687,307,596 × 687,307,596
  4. Step 4: Simplify right side
    319,443,702x = 472,391,731,519,299,200
  5. Step 5: Solve for x
    x = 472,391,731,519,299,200/319,443,702
  6. Step 6: Final answer
    x = 1,478,794,944.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.