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Finding the Third Proportional to 289,234.50 and 592,561.50

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Solution

The third proportional to 289,234.50 and 592,561.50 is: 1,213,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,234.50 : 592,561.50 = 592,561.50 : x
  2. Step 2: Convert to fraction form
    289,234.50/592,561.50 = 592,561.50/x
  3. Step 3: Cross multiply
    289,234.50x = 592,561.50 × 592,561.50
  4. Step 4: Simplify right side
    289,234.50x = 351,129,131,282.25
  5. Step 5: Solve for x
    x = 351,129,131,282.25/289,234.50
  6. Step 6: Final answer
    x = 1,213,994.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.