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Finding the Third Proportional to 329,725,985 and 510,083,832

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Solution

The third proportional to 329,725,985 and 510,083,832 is: 789,096,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,725,985 : 510,083,832 = 510,083,832 : x
  2. Step 2: Convert to fraction form
    329,725,985/510,083,832 = 510,083,832/x
  3. Step 3: Cross multiply
    329,725,985x = 510,083,832 × 510,083,832
  4. Step 4: Simplify right side
    329,725,985x = 260,185,515,667,804,224
  5. Step 5: Solve for x
    x = 260,185,515,667,804,224/329,725,985
  6. Step 6: Final answer
    x = 789,096,181.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.