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Finding the Third Proportional to 277,714 and 575,120

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Solution

The third proportional to 277,714 and 575,120 is: 1,191,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,714 : 575,120 = 575,120 : x
  2. Step 2: Convert to fraction form
    277,714/575,120 = 575,120/x
  3. Step 3: Cross multiply
    277,714x = 575,120 × 575,120
  4. Step 4: Simplify right side
    277,714x = 330,763,014,400
  5. Step 5: Solve for x
    x = 330,763,014,400/277,714
  6. Step 6: Final answer
    x = 1,191,020.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.