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Finding the Third Proportional to 277,548 and 439,068

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Solution

The third proportional to 277,548 and 439,068 is: 694,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,548 : 439,068 = 439,068 : x
  2. Step 2: Convert to fraction form
    277,548/439,068 = 439,068/x
  3. Step 3: Cross multiply
    277,548x = 439,068 × 439,068
  4. Step 4: Simplify right side
    277,548x = 192,780,708,624
  5. Step 5: Solve for x
    x = 192,780,708,624/277,548
  6. Step 6: Final answer
    x = 694,585.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.