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Finding the Third Proportional to 289,467 and 436,023

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Solution

The third proportional to 289,467 and 436,023 is: 656,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,467 : 436,023 = 436,023 : x
  2. Step 2: Convert to fraction form
    289,467/436,023 = 436,023/x
  3. Step 3: Cross multiply
    289,467x = 436,023 × 436,023
  4. Step 4: Simplify right side
    289,467x = 190,116,056,529
  5. Step 5: Solve for x
    x = 190,116,056,529/289,467
  6. Step 6: Final answer
    x = 656,779.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.