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Finding the Third Proportional to 575,460 and 871,186.50

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Solution

The third proportional to 575,460 and 871,186.50 is: 1,318,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,460 : 871,186.50 = 871,186.50 : x
  2. Step 2: Convert to fraction form
    575,460/871,186.50 = 871,186.50/x
  3. Step 3: Cross multiply
    575,460x = 871,186.50 × 871,186.50
  4. Step 4: Simplify right side
    575,460x = 758,965,917,782.25
  5. Step 5: Solve for x
    x = 758,965,917,782.25/575,460
  6. Step 6: Final answer
    x = 1,318,885.62

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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.