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Finding the Third Proportional to 277,283.50 and 567,706

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Solution

The third proportional to 277,283.50 and 567,706 is: 1,162,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,283.50 : 567,706 = 567,706 : x
  2. Step 2: Convert to fraction form
    277,283.50/567,706 = 567,706/x
  3. Step 3: Cross multiply
    277,283.50x = 567,706 × 567,706
  4. Step 4: Simplify right side
    277,283.50x = 322,290,102,436
  5. Step 5: Solve for x
    x = 322,290,102,436/277,283.50
  6. Step 6: Final answer
    x = 1,162,312.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.