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Finding the Third Proportional to 407,286 and 877,650

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Solution

The third proportional to 407,286 and 877,650 is: 1,891,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,286 : 877,650 = 877,650 : x
  2. Step 2: Convert to fraction form
    407,286/877,650 = 877,650/x
  3. Step 3: Cross multiply
    407,286x = 877,650 × 877,650
  4. Step 4: Simplify right side
    407,286x = 770,269,522,500
  5. Step 5: Solve for x
    x = 770,269,522,500/407,286
  6. Step 6: Final answer
    x = 1,891,225.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.