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Finding the Third Proportional to 286,594 and 622,951

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Solution

The third proportional to 286,594 and 622,951 is: 1,354,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594 : 622,951 = 622,951 : x
  2. Step 2: Convert to fraction form
    286,594/622,951 = 622,951/x
  3. Step 3: Cross multiply
    286,594x = 622,951 × 622,951
  4. Step 4: Simplify right side
    286,594x = 388,067,948,401
  5. Step 5: Solve for x
    x = 388,067,948,401/286,594
  6. Step 6: Final answer
    x = 1,354,068.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.