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Finding the Third Proportional to 277,709 and 597,610

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Solution

The third proportional to 277,709 and 597,610 is: 1,286,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,709 : 597,610 = 597,610 : x
  2. Step 2: Convert to fraction form
    277,709/597,610 = 597,610/x
  3. Step 3: Cross multiply
    277,709x = 597,610 × 597,610
  4. Step 4: Simplify right side
    277,709x = 357,137,712,100
  5. Step 5: Solve for x
    x = 357,137,712,100/277,709
  6. Step 6: Final answer
    x = 1,286,014.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.