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Finding the Third Proportional to 276,447 and 602,913

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Solution

The third proportional to 276,447 and 602,913 is: 1,314,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,447 : 602,913 = 602,913 : x
  2. Step 2: Convert to fraction form
    276,447/602,913 = 602,913/x
  3. Step 3: Cross multiply
    276,447x = 602,913 × 602,913
  4. Step 4: Simplify right side
    276,447x = 363,504,085,569
  5. Step 5: Solve for x
    x = 363,504,085,569/276,447
  6. Step 6: Final answer
    x = 1,314,914.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.