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Finding the Third Proportional to 493,061.50 and 739,590

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Solution

The third proportional to 493,061.50 and 739,590 is: 1,109,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,061.50 : 739,590 = 739,590 : x
  2. Step 2: Convert to fraction form
    493,061.50/739,590 = 739,590/x
  3. Step 3: Cross multiply
    493,061.50x = 739,590 × 739,590
  4. Step 4: Simplify right side
    493,061.50x = 546,993,368,100
  5. Step 5: Solve for x
    x = 546,993,368,100/493,061.50
  6. Step 6: Final answer
    x = 1,109,381.63

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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.