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Finding the Third Proportional to 382,753 and 893,999.50

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Solution

The third proportional to 382,753 and 893,999.50 is: 2,088,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,753 : 893,999.50 = 893,999.50 : x
  2. Step 2: Convert to fraction form
    382,753/893,999.50 = 893,999.50/x
  3. Step 3: Cross multiply
    382,753x = 893,999.50 × 893,999.50
  4. Step 4: Simplify right side
    382,753x = 799,235,106,000.25
  5. Step 5: Solve for x
    x = 799,235,106,000.25/382,753
  6. Step 6: Final answer
    x = 2,088,122.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.