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Finding the Third Proportional to 277,184 and 598,656

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Solution

The third proportional to 277,184 and 598,656 is: 1,292,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,184 : 598,656 = 598,656 : x
  2. Step 2: Convert to fraction form
    277,184/598,656 = 598,656/x
  3. Step 3: Cross multiply
    277,184x = 598,656 × 598,656
  4. Step 4: Simplify right side
    277,184x = 358,389,006,336
  5. Step 5: Solve for x
    x = 358,389,006,336/277,184
  6. Step 6: Final answer
    x = 1,292,964.26

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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.