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Finding the Third Proportional to 379,162 and 877,776

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Solution

The third proportional to 379,162 and 877,776 is: 2,032,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,162 : 877,776 = 877,776 : x
  2. Step 2: Convert to fraction form
    379,162/877,776 = 877,776/x
  3. Step 3: Cross multiply
    379,162x = 877,776 × 877,776
  4. Step 4: Simplify right side
    379,162x = 770,490,706,176
  5. Step 5: Solve for x
    x = 770,490,706,176/379,162
  6. Step 6: Final answer
    x = 2,032,088.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.