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Finding the Third Proportional to 289,968 and 433,602

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Solution

The third proportional to 289,968 and 433,602 is: 648,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,968 : 433,602 = 433,602 : x
  2. Step 2: Convert to fraction form
    289,968/433,602 = 433,602/x
  3. Step 3: Cross multiply
    289,968x = 433,602 × 433,602
  4. Step 4: Simplify right side
    289,968x = 188,010,694,404
  5. Step 5: Solve for x
    x = 188,010,694,404/289,968
  6. Step 6: Final answer
    x = 648,384.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.