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Finding the Third Proportional to 305,243 and 663,014

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Solution

The third proportional to 305,243 and 663,014 is: 1,440,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,243 : 663,014 = 663,014 : x
  2. Step 2: Convert to fraction form
    305,243/663,014 = 663,014/x
  3. Step 3: Cross multiply
    305,243x = 663,014 × 663,014
  4. Step 4: Simplify right side
    305,243x = 439,587,564,196
  5. Step 5: Solve for x
    x = 439,587,564,196/305,243
  6. Step 6: Final answer
    x = 1,440,123.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.