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Finding the Third Proportional to 277,587 and 574,857

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Solution

The third proportional to 277,587 and 574,857 is: 1,190,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,587 : 574,857 = 574,857 : x
  2. Step 2: Convert to fraction form
    277,587/574,857 = 574,857/x
  3. Step 3: Cross multiply
    277,587x = 574,857 × 574,857
  4. Step 4: Simplify right side
    277,587x = 330,460,570,449
  5. Step 5: Solve for x
    x = 330,460,570,449/277,587
  6. Step 6: Final answer
    x = 1,190,475.67

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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.