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Finding the Third Proportional to 277,384.50 and 417,291.75

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Solution

The third proportional to 277,384.50 and 417,291.75 is: 627,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384.50 : 417,291.75 = 417,291.75 : x
  2. Step 2: Convert to fraction form
    277,384.50/417,291.75 = 417,291.75/x
  3. Step 3: Cross multiply
    277,384.50x = 417,291.75 × 417,291.75
  4. Step 4: Simplify right side
    277,384.50x = 174,132,404,618.06
  5. Step 5: Solve for x
    x = 174,132,404,618.06/277,384.50
  6. Step 6: Final answer
    x = 627,765.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.