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Finding the Third Proportional to 265,990 and 577,190

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Solution

The third proportional to 265,990 and 577,190 is: 1,252,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,990 : 577,190 = 577,190 : x
  2. Step 2: Convert to fraction form
    265,990/577,190 = 577,190/x
  3. Step 3: Cross multiply
    265,990x = 577,190 × 577,190
  4. Step 4: Simplify right side
    265,990x = 333,148,296,100
  5. Step 5: Solve for x
    x = 333,148,296,100/265,990
  6. Step 6: Final answer
    x = 1,252,484.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.