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Finding the Third Proportional to 265,808 and 458,616

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Solution

The third proportional to 265,808 and 458,616 is: 791,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,808 : 458,616 = 458,616 : x
  2. Step 2: Convert to fraction form
    265,808/458,616 = 458,616/x
  3. Step 3: Cross multiply
    265,808x = 458,616 × 458,616
  4. Step 4: Simplify right side
    265,808x = 210,328,635,456
  5. Step 5: Solve for x
    x = 210,328,635,456/265,808
  6. Step 6: Final answer
    x = 791,280.31

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.