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Finding the Third Proportional to 277,187 and 598,690

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Solution

The third proportional to 277,187 and 598,690 is: 1,293,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,187 : 598,690 = 598,690 : x
  2. Step 2: Convert to fraction form
    277,187/598,690 = 598,690/x
  3. Step 3: Cross multiply
    277,187x = 598,690 × 598,690
  4. Step 4: Simplify right side
    277,187x = 358,429,716,100
  5. Step 5: Solve for x
    x = 358,429,716,100/277,187
  6. Step 6: Final answer
    x = 1,293,097.14

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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.