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Finding the Third Proportional to 265,444 and 577,538

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Solution

The third proportional to 265,444 and 577,538 is: 1,256,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,444 : 577,538 = 577,538 : x
  2. Step 2: Convert to fraction form
    265,444/577,538 = 577,538/x
  3. Step 3: Cross multiply
    265,444x = 577,538 × 577,538
  4. Step 4: Simplify right side
    265,444x = 333,550,141,444
  5. Step 5: Solve for x
    x = 333,550,141,444/265,444
  6. Step 6: Final answer
    x = 1,256,574.42

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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.