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Finding the Third Proportional to 255,913 and 550,706

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Solution

The third proportional to 255,913 and 550,706 is: 1,185,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,913 : 550,706 = 550,706 : x
  2. Step 2: Convert to fraction form
    255,913/550,706 = 550,706/x
  3. Step 3: Cross multiply
    255,913x = 550,706 × 550,706
  4. Step 4: Simplify right side
    255,913x = 303,277,098,436
  5. Step 5: Solve for x
    x = 303,277,098,436/255,913
  6. Step 6: Final answer
    x = 1,185,078.91

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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.