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Finding the Third Proportional to 245,722 and 536,902

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Solution

The third proportional to 245,722 and 536,902 is: 1,173,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,722 : 536,902 = 536,902 : x
  2. Step 2: Convert to fraction form
    245,722/536,902 = 536,902/x
  3. Step 3: Cross multiply
    245,722x = 536,902 × 536,902
  4. Step 4: Simplify right side
    245,722x = 288,263,757,604
  5. Step 5: Solve for x
    x = 288,263,757,604/245,722
  6. Step 6: Final answer
    x = 1,173,129.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.