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Finding the Third Proportional to 277,707 and 597,606

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Solution

The third proportional to 277,707 and 597,606 is: 1,286,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,707 : 597,606 = 597,606 : x
  2. Step 2: Convert to fraction form
    277,707/597,606 = 597,606/x
  3. Step 3: Cross multiply
    277,707x = 597,606 × 597,606
  4. Step 4: Simplify right side
    277,707x = 357,132,931,236
  5. Step 5: Solve for x
    x = 357,132,931,236/277,707
  6. Step 6: Final answer
    x = 1,286,006.23

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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.