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Finding the Third Proportional to 277,490 and 598,176

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Solution

The third proportional to 277,490 and 598,176 is: 1,289,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,490 : 598,176 = 598,176 : x
  2. Step 2: Convert to fraction form
    277,490/598,176 = 598,176/x
  3. Step 3: Cross multiply
    277,490x = 598,176 × 598,176
  4. Step 4: Simplify right side
    277,490x = 357,814,526,976
  5. Step 5: Solve for x
    x = 357,814,526,976/277,490
  6. Step 6: Final answer
    x = 1,289,468.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.