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Finding the Third Proportional to 315,972,301.50 and 419,261,580

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Solution

The third proportional to 315,972,301.50 and 419,261,580 is: 556,315,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,972,301.50 : 419,261,580 = 419,261,580 : x
  2. Step 2: Convert to fraction form
    315,972,301.50/419,261,580 = 419,261,580/x
  3. Step 3: Cross multiply
    315,972,301.50x = 419,261,580 × 419,261,580
  4. Step 4: Simplify right side
    315,972,301.50x = 175,780,272,464,096,384
  5. Step 5: Solve for x
    x = 175,780,272,464,096,384/315,972,301.50
  6. Step 6: Final answer
    x = 556,315,448.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.