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Finding the Third Proportional to 262,454 and 407,169

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Solution

The third proportional to 262,454 and 407,169 is: 631,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,454 : 407,169 = 407,169 : x
  2. Step 2: Convert to fraction form
    262,454/407,169 = 407,169/x
  3. Step 3: Cross multiply
    262,454x = 407,169 × 407,169
  4. Step 4: Simplify right side
    262,454x = 165,786,594,561
  5. Step 5: Solve for x
    x = 165,786,594,561/262,454
  6. Step 6: Final answer
    x = 631,678.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.