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Finding the Third Proportional to 371,071 and 555,634

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Solution

The third proportional to 371,071 and 555,634 is: 831,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,071 : 555,634 = 555,634 : x
  2. Step 2: Convert to fraction form
    371,071/555,634 = 555,634/x
  3. Step 3: Cross multiply
    371,071x = 555,634 × 555,634
  4. Step 4: Simplify right side
    371,071x = 308,729,141,956
  5. Step 5: Solve for x
    x = 308,729,141,956/371,071
  6. Step 6: Final answer
    x = 831,994.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.