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Finding the Third Proportional to 504,496 and 756,816

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Solution

The third proportional to 504,496 and 756,816 is: 1,135,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,496 : 756,816 = 756,816 : x
  2. Step 2: Convert to fraction form
    504,496/756,816 = 756,816/x
  3. Step 3: Cross multiply
    504,496x = 756,816 × 756,816
  4. Step 4: Simplify right side
    504,496x = 572,770,457,856
  5. Step 5: Solve for x
    x = 572,770,457,856/504,496
  6. Step 6: Final answer
    x = 1,135,332.01

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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.