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Finding the Third Proportional to 277,518 and 416,316

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Solution

The third proportional to 277,518 and 416,316 is: 624,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,518 : 416,316 = 416,316 : x
  2. Step 2: Convert to fraction form
    277,518/416,316 = 416,316/x
  3. Step 3: Cross multiply
    277,518x = 416,316 × 416,316
  4. Step 4: Simplify right side
    277,518x = 173,319,011,856
  5. Step 5: Solve for x
    x = 173,319,011,856/277,518
  6. Step 6: Final answer
    x = 624,532.51

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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.