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Finding the Third Proportional to 259,353 and 536,706

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Solution

The third proportional to 259,353 and 536,706 is: 1,110,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,353 : 536,706 = 536,706 : x
  2. Step 2: Convert to fraction form
    259,353/536,706 = 536,706/x
  3. Step 3: Cross multiply
    259,353x = 536,706 × 536,706
  4. Step 4: Simplify right side
    259,353x = 288,053,330,436
  5. Step 5: Solve for x
    x = 288,053,330,436/259,353
  6. Step 6: Final answer
    x = 1,110,661.26

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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.