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Finding the Third Proportional to 426,684 and 660,834

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Solution

The third proportional to 426,684 and 660,834 is: 1,023,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,684 : 660,834 = 660,834 : x
  2. Step 2: Convert to fraction form
    426,684/660,834 = 660,834/x
  3. Step 3: Cross multiply
    426,684x = 660,834 × 660,834
  4. Step 4: Simplify right side
    426,684x = 436,701,575,556
  5. Step 5: Solve for x
    x = 436,701,575,556/426,684
  6. Step 6: Final answer
    x = 1,023,477.74

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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.