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Finding the Third Proportional to 236,592 and 519,776

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Solution

The third proportional to 236,592 and 519,776 is: 1,141,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,592 : 519,776 = 519,776 : x
  2. Step 2: Convert to fraction form
    236,592/519,776 = 519,776/x
  3. Step 3: Cross multiply
    236,592x = 519,776 × 519,776
  4. Step 4: Simplify right side
    236,592x = 270,167,090,176
  5. Step 5: Solve for x
    x = 270,167,090,176/236,592
  6. Step 6: Final answer
    x = 1,141,911.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.