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Finding the Third Proportional to 337,522,723 and 507,182,738

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Solution

The third proportional to 337,522,723 and 507,182,738 is: 762,124,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,522,723 : 507,182,738 = 507,182,738 : x
  2. Step 2: Convert to fraction form
    337,522,723/507,182,738 = 507,182,738/x
  3. Step 3: Cross multiply
    337,522,723x = 507,182,738 × 507,182,738
  4. Step 4: Simplify right side
    337,522,723x = 257,234,329,725,176,640
  5. Step 5: Solve for x
    x = 257,234,329,725,176,640/337,522,723
  6. Step 6: Final answer
    x = 762,124,479.91

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Why These Related Problems?

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