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Finding the Third Proportional to 277,300 and 596,633

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Solution

The third proportional to 277,300 and 596,633 is: 1,283,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,300 : 596,633 = 596,633 : x
  2. Step 2: Convert to fraction form
    277,300/596,633 = 596,633/x
  3. Step 3: Cross multiply
    277,300x = 596,633 × 596,633
  4. Step 4: Simplify right side
    277,300x = 355,970,936,689
  5. Step 5: Solve for x
    x = 355,970,936,689/277,300
  6. Step 6: Final answer
    x = 1,283,703.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.