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Finding the Third Proportional to 337,064 and 507,732

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Solution

The third proportional to 337,064 and 507,732 is: 764,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,064 : 507,732 = 507,732 : x
  2. Step 2: Convert to fraction form
    337,064/507,732 = 507,732/x
  3. Step 3: Cross multiply
    337,064x = 507,732 × 507,732
  4. Step 4: Simplify right side
    337,064x = 257,791,783,824
  5. Step 5: Solve for x
    x = 257,791,783,824/337,064
  6. Step 6: Final answer
    x = 764,815.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.