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Finding the Third Proportional to 374,314 and 811,683

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Solution

The third proportional to 374,314 and 811,683 is: 1,760,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,314 : 811,683 = 811,683 : x
  2. Step 2: Convert to fraction form
    374,314/811,683 = 811,683/x
  3. Step 3: Cross multiply
    374,314x = 811,683 × 811,683
  4. Step 4: Simplify right side
    374,314x = 658,829,292,489
  5. Step 5: Solve for x
    x = 658,829,292,489/374,314
  6. Step 6: Final answer
    x = 1,760,097.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.