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Finding the Third Proportional to 575,468 and 871,194

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Solution

The third proportional to 575,468 and 871,194 is: 1,318,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,468 : 871,194 = 871,194 : x
  2. Step 2: Convert to fraction form
    575,468/871,194 = 871,194/x
  3. Step 3: Cross multiply
    575,468x = 871,194 × 871,194
  4. Step 4: Simplify right side
    575,468x = 758,978,985,636
  5. Step 5: Solve for x
    x = 758,978,985,636/575,468
  6. Step 6: Final answer
    x = 1,318,889.99

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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.