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Finding the Third Proportional to 265,702 and 574,818

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Solution

The third proportional to 265,702 and 574,818 is: 1,243,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,702 : 574,818 = 574,818 : x
  2. Step 2: Convert to fraction form
    265,702/574,818 = 574,818/x
  3. Step 3: Cross multiply
    265,702x = 574,818 × 574,818
  4. Step 4: Simplify right side
    265,702x = 330,415,733,124
  5. Step 5: Solve for x
    x = 330,415,733,124/265,702
  6. Step 6: Final answer
    x = 1,243,557.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.