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Finding the Third Proportional to 277,577 and 607,391

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Solution

The third proportional to 277,577 and 607,391 is: 1,329,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,577 : 607,391 = 607,391 : x
  2. Step 2: Convert to fraction form
    277,577/607,391 = 607,391/x
  3. Step 3: Cross multiply
    277,577x = 607,391 × 607,391
  4. Step 4: Simplify right side
    277,577x = 368,923,826,881
  5. Step 5: Solve for x
    x = 368,923,826,881/277,577
  6. Step 6: Final answer
    x = 1,329,086.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.