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Finding the Third Proportional to 342,000,598 and 717,593,516

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Solution

The third proportional to 342,000,598 and 717,593,516 is: 1,505,671,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000,598 : 717,593,516 = 717,593,516 : x
  2. Step 2: Convert to fraction form
    342,000,598/717,593,516 = 717,593,516/x
  3. Step 3: Cross multiply
    342,000,598x = 717,593,516 × 717,593,516
  4. Step 4: Simplify right side
    342,000,598x = 514,940,454,205,242,240
  5. Step 5: Solve for x
    x = 514,940,454,205,242,240/342,000,598
  6. Step 6: Final answer
    x = 1,505,671,209.98

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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.