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Finding the Third Proportional to 259,356 and 536,712

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Solution

The third proportional to 259,356 and 536,712 is: 1,110,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,356 : 536,712 = 536,712 : x
  2. Step 2: Convert to fraction form
    259,356/536,712 = 536,712/x
  3. Step 3: Cross multiply
    259,356x = 536,712 × 536,712
  4. Step 4: Simplify right side
    259,356x = 288,059,770,944
  5. Step 5: Solve for x
    x = 288,059,770,944/259,356
  6. Step 6: Final answer
    x = 1,110,673.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.