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Finding the Third Proportional to 345,002,324 and 748,215,300

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Solution

The third proportional to 345,002,324 and 748,215,300 is: 1,622,673,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,002,324 : 748,215,300 = 748,215,300 : x
  2. Step 2: Convert to fraction form
    345,002,324/748,215,300 = 748,215,300/x
  3. Step 3: Cross multiply
    345,002,324x = 748,215,300 × 748,215,300
  4. Step 4: Simplify right side
    345,002,324x = 559,826,135,154,089,984
  5. Step 5: Solve for x
    x = 559,826,135,154,089,984/345,002,324
  6. Step 6: Final answer
    x = 1,622,673,519.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.