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Finding the Third Proportional to 289,926 and 433,539

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Solution

The third proportional to 289,926 and 433,539 is: 648,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,926 : 433,539 = 433,539 : x
  2. Step 2: Convert to fraction form
    289,926/433,539 = 433,539/x
  3. Step 3: Cross multiply
    289,926x = 433,539 × 433,539
  4. Step 4: Simplify right side
    289,926x = 187,956,064,521
  5. Step 5: Solve for x
    x = 187,956,064,521/289,926
  6. Step 6: Final answer
    x = 648,289.79

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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.