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Finding the Third Proportional to 379,031 and 824,878

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Solution

The third proportional to 379,031 and 824,878 is: 1,795,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,031 : 824,878 = 824,878 : x
  2. Step 2: Convert to fraction form
    379,031/824,878 = 824,878/x
  3. Step 3: Cross multiply
    379,031x = 824,878 × 824,878
  4. Step 4: Simplify right side
    379,031x = 680,423,714,884
  5. Step 5: Solve for x
    x = 680,423,714,884/379,031
  6. Step 6: Final answer
    x = 1,795,166.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.