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Finding the Third Proportional to 351,058 and 529,064

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Solution

The third proportional to 351,058 and 529,064 is: 797,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,058 : 529,064 = 529,064 : x
  2. Step 2: Convert to fraction form
    351,058/529,064 = 529,064/x
  3. Step 3: Cross multiply
    351,058x = 529,064 × 529,064
  4. Step 4: Simplify right side
    351,058x = 279,908,716,096
  5. Step 5: Solve for x
    x = 279,908,716,096/351,058
  6. Step 6: Final answer
    x = 797,328.98

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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.