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Finding the Third Proportional to 327,052,671 and 502,702,602

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Solution

The third proportional to 327,052,671 and 502,702,602 is: 772,688,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,052,671 : 502,702,602 = 502,702,602 : x
  2. Step 2: Convert to fraction form
    327,052,671/502,702,602 = 502,702,602/x
  3. Step 3: Cross multiply
    327,052,671x = 502,702,602 × 502,702,602
  4. Step 4: Simplify right side
    327,052,671x = 252,709,906,057,570,400
  5. Step 5: Solve for x
    x = 252,709,906,057,570,400/327,052,671
  6. Step 6: Final answer
    x = 772,688,708.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.