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Finding the Third Proportional to 277,506 and 609,564

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Solution

The third proportional to 277,506 and 609,564 is: 1,338,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506 : 609,564 = 609,564 : x
  2. Step 2: Convert to fraction form
    277,506/609,564 = 609,564/x
  3. Step 3: Cross multiply
    277,506x = 609,564 × 609,564
  4. Step 4: Simplify right side
    277,506x = 371,568,270,096
  5. Step 5: Solve for x
    x = 371,568,270,096/277,506
  6. Step 6: Final answer
    x = 1,338,955.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.