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Finding the Third Proportional to 223,219 and 526,840

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Solution

The third proportional to 223,219 and 526,840 is: 1,243,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,219 : 526,840 = 526,840 : x
  2. Step 2: Convert to fraction form
    223,219/526,840 = 526,840/x
  3. Step 3: Cross multiply
    223,219x = 526,840 × 526,840
  4. Step 4: Simplify right side
    223,219x = 277,560,385,600
  5. Step 5: Solve for x
    x = 277,560,385,600/223,219
  6. Step 6: Final answer
    x = 1,243,444.27

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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.