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Finding the Third Proportional to 426,782 and 932,308

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Solution

The third proportional to 426,782 and 932,308 is: 2,036,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,782 : 932,308 = 932,308 : x
  2. Step 2: Convert to fraction form
    426,782/932,308 = 932,308/x
  3. Step 3: Cross multiply
    426,782x = 932,308 × 932,308
  4. Step 4: Simplify right side
    426,782x = 869,198,206,864
  5. Step 5: Solve for x
    x = 869,198,206,864/426,782
  6. Step 6: Final answer
    x = 2,036,632.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.