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Finding the Third Proportional to 405,487,749 and 628,153,768

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Solution

The third proportional to 405,487,749 and 628,153,768 is: 973,092,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,487,749 : 628,153,768 = 628,153,768 : x
  2. Step 2: Convert to fraction form
    405,487,749/628,153,768 = 628,153,768/x
  3. Step 3: Cross multiply
    405,487,749x = 628,153,768 × 628,153,768
  4. Step 4: Simplify right side
    405,487,749x = 394,577,156,252,597,824
  5. Step 5: Solve for x
    x = 394,577,156,252,597,824/405,487,749
  6. Step 6: Final answer
    x = 973,092,669.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.