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Finding the Third Proportional to 631,286 and 850,539

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Solution

The third proportional to 631,286 and 850,539 is: 1,145,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,286 : 850,539 = 850,539 : x
  2. Step 2: Convert to fraction form
    631,286/850,539 = 850,539/x
  3. Step 3: Cross multiply
    631,286x = 850,539 × 850,539
  4. Step 4: Simplify right side
    631,286x = 723,416,590,521
  5. Step 5: Solve for x
    x = 723,416,590,521/631,286
  6. Step 6: Final answer
    x = 1,145,941.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.