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Finding the Third Proportional to 465,445,728 and 694,132,301.25

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Solution

The third proportional to 465,445,728 and 694,132,301.25 is: 1,035,179,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,445,728 : 694,132,301.25 = 694,132,301.25 : x
  2. Step 2: Convert to fraction form
    465,445,728/694,132,301.25 = 694,132,301.25/x
  3. Step 3: Cross multiply
    465,445,728x = 694,132,301.25 × 694,132,301.25
  4. Step 4: Simplify right side
    465,445,728x = 481,819,651,638,620,736
  5. Step 5: Solve for x
    x = 481,819,651,638,620,736/465,445,728
  6. Step 6: Final answer
    x = 1,035,179,017.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.