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Finding the Third Proportional to 265,475 and 577,606

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Solution

The third proportional to 265,475 and 577,606 is: 1,256,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,475 : 577,606 = 577,606 : x
  2. Step 2: Convert to fraction form
    265,475/577,606 = 577,606/x
  3. Step 3: Cross multiply
    265,475x = 577,606 × 577,606
  4. Step 4: Simplify right side
    265,475x = 333,628,691,236
  5. Step 5: Solve for x
    x = 333,628,691,236/265,475
  6. Step 6: Final answer
    x = 1,256,723.58

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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.