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Finding the Third Proportional to 522,969 and 808,105

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Solution

The third proportional to 522,969 and 808,105 is: 1,248,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,969 : 808,105 = 808,105 : x
  2. Step 2: Convert to fraction form
    522,969/808,105 = 808,105/x
  3. Step 3: Cross multiply
    522,969x = 808,105 × 808,105
  4. Step 4: Simplify right side
    522,969x = 653,033,691,025
  5. Step 5: Solve for x
    x = 653,033,691,025/522,969
  6. Step 6: Final answer
    x = 1,248,704.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.