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Finding the Third Proportional to 341,495 and 501,171

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Solution

The third proportional to 341,495 and 501,171 is: 735,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,495 : 501,171 = 501,171 : x
  2. Step 2: Convert to fraction form
    341,495/501,171 = 501,171/x
  3. Step 3: Cross multiply
    341,495x = 501,171 × 501,171
  4. Step 4: Simplify right side
    341,495x = 251,172,371,241
  5. Step 5: Solve for x
    x = 251,172,371,241/341,495
  6. Step 6: Final answer
    x = 735,508.20

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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.