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Finding the Third Proportional to 277,735.50 and 414,784.13

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Solution

The third proportional to 277,735.50 and 414,784.13 is: 619,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,735.50 : 414,784.13 = 414,784.13 : x
  2. Step 2: Convert to fraction form
    277,735.50/414,784.13 = 414,784.13/x
  3. Step 3: Cross multiply
    277,735.50x = 414,784.13 × 414,784.13
  4. Step 4: Simplify right side
    277,735.50x = 172,045,870,352.02
  5. Step 5: Solve for x
    x = 172,045,870,352.02/277,735.50
  6. Step 6: Final answer
    x = 619,459.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.