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Finding the Third Proportional to 342,000,596 and 717,593,512

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Solution

The third proportional to 342,000,596 and 717,593,512 is: 1,505,671,202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000,596 : 717,593,512 = 717,593,512 : x
  2. Step 2: Convert to fraction form
    342,000,596/717,593,512 = 717,593,512/x
  3. Step 3: Cross multiply
    342,000,596x = 717,593,512 × 717,593,512
  4. Step 4: Simplify right side
    342,000,596x = 514,940,448,464,494,144
  5. Step 5: Solve for x
    x = 514,940,448,464,494,144/342,000,596
  6. Step 6: Final answer
    x = 1,505,671,202.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.