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Finding the Third Proportional to 463,469 and 737,502

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Solution

The third proportional to 463,469 and 737,502 is: 1,173,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,469 : 737,502 = 737,502 : x
  2. Step 2: Convert to fraction form
    463,469/737,502 = 737,502/x
  3. Step 3: Cross multiply
    463,469x = 737,502 × 737,502
  4. Step 4: Simplify right side
    463,469x = 543,909,200,004
  5. Step 5: Solve for x
    x = 543,909,200,004/463,469
  6. Step 6: Final answer
    x = 1,173,561.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.