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Finding the Third Proportional to 330,571,420 and 720,664,296

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Solution

The third proportional to 330,571,420 and 720,664,296 is: 1,571,088,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,571,420 : 720,664,296 = 720,664,296 : x
  2. Step 2: Convert to fraction form
    330,571,420/720,664,296 = 720,664,296/x
  3. Step 3: Cross multiply
    330,571,420x = 720,664,296 × 720,664,296
  4. Step 4: Simplify right side
    330,571,420x = 519,357,027,529,175,616
  5. Step 5: Solve for x
    x = 519,357,027,529,175,616/330,571,420
  6. Step 6: Final answer
    x = 1,571,088,715.20

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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.