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Finding the Third Proportional to 374,316 and 811,689

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Solution

The third proportional to 374,316 and 811,689 is: 1,760,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,316 : 811,689 = 811,689 : x
  2. Step 2: Convert to fraction form
    374,316/811,689 = 811,689/x
  3. Step 3: Cross multiply
    374,316x = 811,689 × 811,689
  4. Step 4: Simplify right side
    374,316x = 658,839,032,721
  5. Step 5: Solve for x
    x = 658,839,032,721/374,316
  6. Step 6: Final answer
    x = 1,760,114.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.