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Finding the Third Proportional to 382,819.50 and 824,140.50

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Solution

The third proportional to 382,819.50 and 824,140.50 is: 1,774,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,819.50 : 824,140.50 = 824,140.50 : x
  2. Step 2: Convert to fraction form
    382,819.50/824,140.50 = 824,140.50/x
  3. Step 3: Cross multiply
    382,819.50x = 824,140.50 × 824,140.50
  4. Step 4: Simplify right side
    382,819.50x = 679,207,563,740.25
  5. Step 5: Solve for x
    x = 679,207,563,740.25/382,819.50
  6. Step 6: Final answer
    x = 1,774,224.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.