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Finding the Third Proportional to 277,710 and 597,612

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Solution

The third proportional to 277,710 and 597,612 is: 1,286,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,710 : 597,612 = 597,612 : x
  2. Step 2: Convert to fraction form
    277,710/597,612 = 597,612/x
  3. Step 3: Cross multiply
    277,710x = 597,612 × 597,612
  4. Step 4: Simplify right side
    277,710x = 357,140,102,544
  5. Step 5: Solve for x
    x = 357,140,102,544/277,710
  6. Step 6: Final answer
    x = 1,286,018.16

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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.