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Finding the Third Proportional to 277,445.25 and 416,205

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Solution

The third proportional to 277,445.25 and 416,205 is: 624,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,445.25 : 416,205 = 416,205 : x
  2. Step 2: Convert to fraction form
    277,445.25/416,205 = 416,205/x
  3. Step 3: Cross multiply
    277,445.25x = 416,205 × 416,205
  4. Step 4: Simplify right side
    277,445.25x = 173,226,602,025
  5. Step 5: Solve for x
    x = 173,226,602,025/277,445.25
  6. Step 6: Final answer
    x = 624,363.19

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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.