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Finding the Third Proportional to 223,396 and 526,946

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Solution

The third proportional to 223,396 and 526,946 is: 1,242,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,396 : 526,946 = 526,946 : x
  2. Step 2: Convert to fraction form
    223,396/526,946 = 526,946/x
  3. Step 3: Cross multiply
    223,396x = 526,946 × 526,946
  4. Step 4: Simplify right side
    223,396x = 277,672,086,916
  5. Step 5: Solve for x
    x = 277,672,086,916/223,396
  6. Step 6: Final answer
    x = 1,242,959.08

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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.