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Finding the Third Proportional to 319,045,998 and 692,542,830

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Solution

The third proportional to 319,045,998 and 692,542,830 is: 1,503,280,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,045,998 : 692,542,830 = 692,542,830 : x
  2. Step 2: Convert to fraction form
    319,045,998/692,542,830 = 692,542,830/x
  3. Step 3: Cross multiply
    319,045,998x = 692,542,830 × 692,542,830
  4. Step 4: Simplify right side
    319,045,998x = 479,615,571,384,408,896
  5. Step 5: Solve for x
    x = 479,615,571,384,408,896/319,045,998
  6. Step 6: Final answer
    x = 1,503,280,324.44

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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.