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Finding the Third Proportional to 280,964 and 444,774

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Solution

The third proportional to 280,964 and 444,774 is: 704,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,964 : 444,774 = 444,774 : x
  2. Step 2: Convert to fraction form
    280,964/444,774 = 444,774/x
  3. Step 3: Cross multiply
    280,964x = 444,774 × 444,774
  4. Step 4: Simplify right side
    280,964x = 197,823,911,076
  5. Step 5: Solve for x
    x = 197,823,911,076/280,964
  6. Step 6: Final answer
    x = 704,089.89

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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.