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Finding the Third Proportional to 252,407,344.13 and 387,728,585.06

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Solution

The third proportional to 252,407,344.13 and 387,728,585.06 is: 595,598,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407,344.13 : 387,728,585.06 = 387,728,585.06 : x
  2. Step 2: Convert to fraction form
    252,407,344.13/387,728,585.06 = 387,728,585.06/x
  3. Step 3: Cross multiply
    252,407,344.13x = 387,728,585.06 × 387,728,585.06
  4. Step 4: Simplify right side
    252,407,344.13x = 150,333,455,674,568,288
  5. Step 5: Solve for x
    x = 150,333,455,674,568,288/252,407,344.13
  6. Step 6: Final answer
    x = 595,598,579.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.