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Finding the Third Proportional to 550,308 and 822,931

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Solution

The third proportional to 550,308 and 822,931 is: 1,230,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,308 : 822,931 = 822,931 : x
  2. Step 2: Convert to fraction form
    550,308/822,931 = 822,931/x
  3. Step 3: Cross multiply
    550,308x = 822,931 × 822,931
  4. Step 4: Simplify right side
    550,308x = 677,215,430,761
  5. Step 5: Solve for x
    x = 677,215,430,761/550,308
  6. Step 6: Final answer
    x = 1,230,611.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.