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Finding the Third Proportional to 277,050.25 and 601,391

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Solution

The third proportional to 277,050.25 and 601,391 is: 1,305,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,050.25 : 601,391 = 601,391 : x
  2. Step 2: Convert to fraction form
    277,050.25/601,391 = 601,391/x
  3. Step 3: Cross multiply
    277,050.25x = 601,391 × 601,391
  4. Step 4: Simplify right side
    277,050.25x = 361,671,134,881
  5. Step 5: Solve for x
    x = 361,671,134,881/277,050.25
  6. Step 6: Final answer
    x = 1,305,435.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.