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Finding the Third Proportional to 269,946 and 624,942

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Solution

The third proportional to 269,946 and 624,942 is: 1,446,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,946 : 624,942 = 624,942 : x
  2. Step 2: Convert to fraction form
    269,946/624,942 = 624,942/x
  3. Step 3: Cross multiply
    269,946x = 624,942 × 624,942
  4. Step 4: Simplify right side
    269,946x = 390,552,503,364
  5. Step 5: Solve for x
    x = 390,552,503,364/269,946
  6. Step 6: Final answer
    x = 1,446,780.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.