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Finding the Third Proportional to 236,496 and 513,816

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Solution

The third proportional to 236,496 and 513,816 is: 1,116,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,496 : 513,816 = 513,816 : x
  2. Step 2: Convert to fraction form
    236,496/513,816 = 513,816/x
  3. Step 3: Cross multiply
    236,496x = 513,816 × 513,816
  4. Step 4: Simplify right side
    236,496x = 264,006,881,856
  5. Step 5: Solve for x
    x = 264,006,881,856/236,496
  6. Step 6: Final answer
    x = 1,116,327.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.