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Finding the Third Proportional to 337,520,846.53 and 507,179,854.69

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Solution

The third proportional to 337,520,846.53 and 507,179,854.69 is: 762,120,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,520,846.53 : 507,179,854.69 = 507,179,854.69 : x
  2. Step 2: Convert to fraction form
    337,520,846.53/507,179,854.69 = 507,179,854.69/x
  3. Step 3: Cross multiply
    337,520,846.53x = 507,179,854.69 × 507,179,854.69
  4. Step 4: Simplify right side
    337,520,846.53x = 257,231,405,000,833,600
  5. Step 5: Solve for x
    x = 257,231,405,000,833,600/337,520,846.53
  6. Step 6: Final answer
    x = 762,120,051.68

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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.