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Finding the Third Proportional to 459,394.50 and 737,523

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Solution

The third proportional to 459,394.50 and 737,523 is: 1,184,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,394.50 : 737,523 = 737,523 : x
  2. Step 2: Convert to fraction form
    459,394.50/737,523 = 737,523/x
  3. Step 3: Cross multiply
    459,394.50x = 737,523 × 737,523
  4. Step 4: Simplify right side
    459,394.50x = 543,940,175,529
  5. Step 5: Solve for x
    x = 543,940,175,529/459,394.50
  6. Step 6: Final answer
    x = 1,184,037.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.