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Finding the Third Proportional to 331,249 and 714,985

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Solution

The third proportional to 331,249 and 714,985 is: 1,543,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,249 : 714,985 = 714,985 : x
  2. Step 2: Convert to fraction form
    331,249/714,985 = 714,985/x
  3. Step 3: Cross multiply
    331,249x = 714,985 × 714,985
  4. Step 4: Simplify right side
    331,249x = 511,203,550,225
  5. Step 5: Solve for x
    x = 511,203,550,225/331,249
  6. Step 6: Final answer
    x = 1,543,260.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.