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Finding the Third Proportional to 325,677,608 and 702,372,112

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Solution

The third proportional to 325,677,608 and 702,372,112 is: 1,514,769,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,677,608 : 702,372,112 = 702,372,112 : x
  2. Step 2: Convert to fraction form
    325,677,608/702,372,112 = 702,372,112/x
  3. Step 3: Cross multiply
    325,677,608x = 702,372,112 × 702,372,112
  4. Step 4: Simplify right side
    325,677,608x = 493,326,583,715,340,544
  5. Step 5: Solve for x
    x = 493,326,583,715,340,544/325,677,608
  6. Step 6: Final answer
    x = 1,514,769,734.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.