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Finding the Third Proportional to 381,460.50 and 577,101

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Solution

The third proportional to 381,460.50 and 577,101 is: 873,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,460.50 : 577,101 = 577,101 : x
  2. Step 2: Convert to fraction form
    381,460.50/577,101 = 577,101/x
  3. Step 3: Cross multiply
    381,460.50x = 577,101 × 577,101
  4. Step 4: Simplify right side
    381,460.50x = 333,045,564,201
  5. Step 5: Solve for x
    x = 333,045,564,201/381,460.50
  6. Step 6: Final answer
    x = 873,080.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.