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Finding the Third Proportional to 343,987,712 and 748,438,912

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Solution

The third proportional to 343,987,712 and 748,438,912 is: 1,628,432,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,987,712 : 748,438,912 = 748,438,912 : x
  2. Step 2: Convert to fraction form
    343,987,712/748,438,912 = 748,438,912/x
  3. Step 3: Cross multiply
    343,987,712x = 748,438,912 × 748,438,912
  4. Step 4: Simplify right side
    343,987,712x = 560,160,804,995,743,744
  5. Step 5: Solve for x
    x = 560,160,804,995,743,744/343,987,712
  6. Step 6: Final answer
    x = 1,628,432,602.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.