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Finding the Third Proportional to 379,225.13 and 828,648.56

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Solution

The third proportional to 379,225.13 and 828,648.56 is: 1,810,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,225.13 : 828,648.56 = 828,648.56 : x
  2. Step 2: Convert to fraction form
    379,225.13/828,648.56 = 828,648.56/x
  3. Step 3: Cross multiply
    379,225.13x = 828,648.56 × 828,648.56
  4. Step 4: Simplify right side
    379,225.13x = 686,658,440,133.32
  5. Step 5: Solve for x
    x = 686,658,440,133.32/379,225.13
  6. Step 6: Final answer
    x = 1,810,688.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.