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Finding the Third Proportional to 376,177 and 811,403

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Solution

The third proportional to 376,177 and 811,403 is: 1,750,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,177 : 811,403 = 811,403 : x
  2. Step 2: Convert to fraction form
    376,177/811,403 = 811,403/x
  3. Step 3: Cross multiply
    376,177x = 811,403 × 811,403
  4. Step 4: Simplify right side
    376,177x = 658,374,828,409
  5. Step 5: Solve for x
    x = 658,374,828,409/376,177
  6. Step 6: Final answer
    x = 1,750,173.00

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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.