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Finding the Third Proportional to 265,048 and 574,645

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Solution

The third proportional to 265,048 and 574,645 is: 1,245,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,048 : 574,645 = 574,645 : x
  2. Step 2: Convert to fraction form
    265,048/574,645 = 574,645/x
  3. Step 3: Cross multiply
    265,048x = 574,645 × 574,645
  4. Step 4: Simplify right side
    265,048x = 330,216,876,025
  5. Step 5: Solve for x
    x = 330,216,876,025/265,048
  6. Step 6: Final answer
    x = 1,245,875.75

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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.