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Finding the Third Proportional to 313,784,598 and 684,068,080.50

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Solution

The third proportional to 313,784,598 and 684,068,080.50 is: 1,491,306,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,784,598 : 684,068,080.50 = 684,068,080.50 : x
  2. Step 2: Convert to fraction form
    313,784,598/684,068,080.50 = 684,068,080.50/x
  3. Step 3: Cross multiply
    313,784,598x = 684,068,080.50 × 684,068,080.50
  4. Step 4: Simplify right side
    313,784,598x = 467,949,138,758,954,496
  5. Step 5: Solve for x
    x = 467,949,138,758,954,496/313,784,598
  6. Step 6: Final answer
    x = 1,491,306,908.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.