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Finding the Third Proportional to 381,457.13 and 577,095.75

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Solution

The third proportional to 381,457.13 and 577,095.75 is: 873,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,457.13 : 577,095.75 = 577,095.75 : x
  2. Step 2: Convert to fraction form
    381,457.13/577,095.75 = 577,095.75/x
  3. Step 3: Cross multiply
    381,457.13x = 577,095.75 × 577,095.75
  4. Step 4: Simplify right side
    381,457.13x = 333,039,504,668.06
  5. Step 5: Solve for x
    x = 333,039,504,668.06/381,457.13
  6. Step 6: Final answer
    x = 873,071.92

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Why These Related Problems?

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