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Finding the Third Proportional to 223,394 and 526,941

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Solution

The third proportional to 223,394 and 526,941 is: 1,242,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,394 : 526,941 = 526,941 : x
  2. Step 2: Convert to fraction form
    223,394/526,941 = 526,941/x
  3. Step 3: Cross multiply
    223,394x = 526,941 × 526,941
  4. Step 4: Simplify right side
    223,394x = 277,666,817,481
  5. Step 5: Solve for x
    x = 277,666,817,481/223,394
  6. Step 6: Final answer
    x = 1,242,946.62

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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.