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Finding the Third Proportional to 361,314 and 786,971

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Solution

The third proportional to 361,314 and 786,971 is: 1,714,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,314 : 786,971 = 786,971 : x
  2. Step 2: Convert to fraction form
    361,314/786,971 = 786,971/x
  3. Step 3: Cross multiply
    361,314x = 786,971 × 786,971
  4. Step 4: Simplify right side
    361,314x = 619,323,354,841
  5. Step 5: Solve for x
    x = 619,323,354,841/361,314
  6. Step 6: Final answer
    x = 1,714,086.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.