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Finding the Third Proportional to 223,260 and 526,926

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Solution

The third proportional to 223,260 and 526,926 is: 1,243,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,260 : 526,926 = 526,926 : x
  2. Step 2: Convert to fraction form
    223,260/526,926 = 526,926/x
  3. Step 3: Cross multiply
    223,260x = 526,926 × 526,926
  4. Step 4: Simplify right side
    223,260x = 277,651,009,476
  5. Step 5: Solve for x
    x = 277,651,009,476/223,260
  6. Step 6: Final answer
    x = 1,243,621.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.