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Finding the Third Proportional to 236,457 and 518,862

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Solution

The third proportional to 236,457 and 518,862 is: 1,138,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,457 : 518,862 = 518,862 : x
  2. Step 2: Convert to fraction form
    236,457/518,862 = 518,862/x
  3. Step 3: Cross multiply
    236,457x = 518,862 × 518,862
  4. Step 4: Simplify right side
    236,457x = 269,217,775,044
  5. Step 5: Solve for x
    x = 269,217,775,044/236,457
  6. Step 6: Final answer
    x = 1,138,548.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.