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Finding the Third Proportional to 341,913 and 733,671

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Solution

The third proportional to 341,913 and 733,671 is: 1,574,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,913 : 733,671 = 733,671 : x
  2. Step 2: Convert to fraction form
    341,913/733,671 = 733,671/x
  3. Step 3: Cross multiply
    341,913x = 733,671 × 733,671
  4. Step 4: Simplify right side
    341,913x = 538,273,136,241
  5. Step 5: Solve for x
    x = 538,273,136,241/341,913
  6. Step 6: Final answer
    x = 1,574,298.54

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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.