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Finding the Third Proportional to 277,206 and 583,389

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Solution

The third proportional to 277,206 and 583,389 is: 1,227,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,206 : 583,389 = 583,389 : x
  2. Step 2: Convert to fraction form
    277,206/583,389 = 583,389/x
  3. Step 3: Cross multiply
    277,206x = 583,389 × 583,389
  4. Step 4: Simplify right side
    277,206x = 340,342,725,321
  5. Step 5: Solve for x
    x = 340,342,725,321/277,206
  6. Step 6: Final answer
    x = 1,227,761.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.