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Finding the Third Proportional to 507,652 and 758,925

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Solution

The third proportional to 507,652 and 758,925 is: 1,134,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,652 : 758,925 = 758,925 : x
  2. Step 2: Convert to fraction form
    507,652/758,925 = 758,925/x
  3. Step 3: Cross multiply
    507,652x = 758,925 × 758,925
  4. Step 4: Simplify right side
    507,652x = 575,967,155,625
  5. Step 5: Solve for x
    x = 575,967,155,625/507,652
  6. Step 6: Final answer
    x = 1,134,570.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.