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Finding the Third Proportional to 265,864 and 570,704

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Solution

The third proportional to 265,864 and 570,704 is: 1,225,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,864 : 570,704 = 570,704 : x
  2. Step 2: Convert to fraction form
    265,864/570,704 = 570,704/x
  3. Step 3: Cross multiply
    265,864x = 570,704 × 570,704
  4. Step 4: Simplify right side
    265,864x = 325,703,055,616
  5. Step 5: Solve for x
    x = 325,703,055,616/265,864
  6. Step 6: Final answer
    x = 1,225,073.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.