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Finding the Third Proportional to 381,561.75 and 829,554

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Solution

The third proportional to 381,561.75 and 829,554 is: 1,803,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,561.75 : 829,554 = 829,554 : x
  2. Step 2: Convert to fraction form
    381,561.75/829,554 = 829,554/x
  3. Step 3: Cross multiply
    381,561.75x = 829,554 × 829,554
  4. Step 4: Simplify right side
    381,561.75x = 688,159,838,916
  5. Step 5: Solve for x
    x = 688,159,838,916/381,561.75
  6. Step 6: Final answer
    x = 1,803,534.65

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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.