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Finding the Third Proportional to 459,405 and 737,535

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Solution

The third proportional to 459,405 and 737,535 is: 1,184,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,405 : 737,535 = 737,535 : x
  2. Step 2: Convert to fraction form
    459,405/737,535 = 737,535/x
  3. Step 3: Cross multiply
    459,405x = 737,535 × 737,535
  4. Step 4: Simplify right side
    459,405x = 543,957,876,225
  5. Step 5: Solve for x
    x = 543,957,876,225/459,405
  6. Step 6: Final answer
    x = 1,184,048.66

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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.