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Finding the Third Proportional to 341,497 and 501,172

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Solution

The third proportional to 341,497 and 501,172 is: 735,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,497 : 501,172 = 501,172 : x
  2. Step 2: Convert to fraction form
    341,497/501,172 = 501,172/x
  3. Step 3: Cross multiply
    341,497x = 501,172 × 501,172
  4. Step 4: Simplify right side
    341,497x = 251,173,373,584
  5. Step 5: Solve for x
    x = 251,173,373,584/341,497
  6. Step 6: Final answer
    x = 735,506.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.