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Finding the Third Proportional to 367,004 and 562,169

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Solution

The third proportional to 367,004 and 562,169 is: 861,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,004 : 562,169 = 562,169 : x
  2. Step 2: Convert to fraction form
    367,004/562,169 = 562,169/x
  3. Step 3: Cross multiply
    367,004x = 562,169 × 562,169
  4. Step 4: Simplify right side
    367,004x = 316,033,984,561
  5. Step 5: Solve for x
    x = 316,033,984,561/367,004
  6. Step 6: Final answer
    x = 861,118.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.