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Finding the Third Proportional to 343,985,652 and 748,434,240

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Solution

The third proportional to 343,985,652 and 748,434,240 is: 1,628,422,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,985,652 : 748,434,240 = 748,434,240 : x
  2. Step 2: Convert to fraction form
    343,985,652/748,434,240 = 748,434,240/x
  3. Step 3: Cross multiply
    343,985,652x = 748,434,240 × 748,434,240
  4. Step 4: Simplify right side
    343,985,652x = 560,153,811,604,377,600
  5. Step 5: Solve for x
    x = 560,153,811,604,377,600/343,985,652
  6. Step 6: Final answer
    x = 1,628,422,023.85

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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.