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Finding the Third Proportional to 277,083 and 598,377

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Solution

The third proportional to 277,083 and 598,377 is: 1,292,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,083 : 598,377 = 598,377 : x
  2. Step 2: Convert to fraction form
    277,083/598,377 = 598,377/x
  3. Step 3: Cross multiply
    277,083x = 598,377 × 598,377
  4. Step 4: Simplify right side
    277,083x = 358,055,034,129
  5. Step 5: Solve for x
    x = 358,055,034,129/277,083
  6. Step 6: Final answer
    x = 1,292,230.25

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