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Finding the Third Proportional to 280,044 and 441,936

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Solution

The third proportional to 280,044 and 441,936 is: 697,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,044 : 441,936 = 441,936 : x
  2. Step 2: Convert to fraction form
    280,044/441,936 = 441,936/x
  3. Step 3: Cross multiply
    280,044x = 441,936 × 441,936
  4. Step 4: Simplify right side
    280,044x = 195,307,428,096
  5. Step 5: Solve for x
    x = 195,307,428,096/280,044
  6. Step 6: Final answer
    x = 697,416.93

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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.