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Finding the Third Proportional to 236,672 and 514,816

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Solution

The third proportional to 236,672 and 514,816 is: 1,119,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,672 : 514,816 = 514,816 : x
  2. Step 2: Convert to fraction form
    236,672/514,816 = 514,816/x
  3. Step 3: Cross multiply
    236,672x = 514,816 × 514,816
  4. Step 4: Simplify right side
    236,672x = 265,035,513,856
  5. Step 5: Solve for x
    x = 265,035,513,856/236,672
  6. Step 6: Final answer
    x = 1,119,843.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.