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Finding the Third Proportional to 517,210,465.88 and 775,057,219.88

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Solution

The third proportional to 517,210,465.88 and 775,057,219.88 is: 1,161,449,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,210,465.88 : 775,057,219.88 = 775,057,219.88 : x
  2. Step 2: Convert to fraction form
    517,210,465.88/775,057,219.88 = 775,057,219.88/x
  3. Step 3: Cross multiply
    517,210,465.88x = 775,057,219.88 × 775,057,219.88
  4. Step 4: Simplify right side
    517,210,465.88x = 600,713,694,080,364,032
  5. Step 5: Solve for x
    x = 600,713,694,080,364,032/517,210,465.88
  6. Step 6: Final answer
    x = 1,161,449,223.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.