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Finding the Third Proportional to 271,306 and 415,023

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Solution

The third proportional to 271,306 and 415,023 is: 634,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,306 : 415,023 = 415,023 : x
  2. Step 2: Convert to fraction form
    271,306/415,023 = 415,023/x
  3. Step 3: Cross multiply
    271,306x = 415,023 × 415,023
  4. Step 4: Simplify right side
    271,306x = 172,244,090,529
  5. Step 5: Solve for x
    x = 172,244,090,529/271,306
  6. Step 6: Final answer
    x = 634,870.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.