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Finding the Third Proportional to 236,456 and 514,384

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Solution

The third proportional to 236,456 and 514,384 is: 1,118,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,456 : 514,384 = 514,384 : x
  2. Step 2: Convert to fraction form
    236,456/514,384 = 514,384/x
  3. Step 3: Cross multiply
    236,456x = 514,384 × 514,384
  4. Step 4: Simplify right side
    236,456x = 264,590,899,456
  5. Step 5: Solve for x
    x = 264,590,899,456/236,456
  6. Step 6: Final answer
    x = 1,118,985.77

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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.