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Finding the Third Proportional to 374,968 and 824,977

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Solution

The third proportional to 374,968 and 824,977 is: 1,815,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,968 : 824,977 = 824,977 : x
  2. Step 2: Convert to fraction form
    374,968/824,977 = 824,977/x
  3. Step 3: Cross multiply
    374,968x = 824,977 × 824,977
  4. Step 4: Simplify right side
    374,968x = 680,587,050,529
  5. Step 5: Solve for x
    x = 680,587,050,529/374,968
  6. Step 6: Final answer
    x = 1,815,053.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.