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Finding the Third Proportional to 286,158 and 622,070

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Solution

The third proportional to 286,158 and 622,070 is: 1,352,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,158 : 622,070 = 622,070 : x
  2. Step 2: Convert to fraction form
    286,158/622,070 = 622,070/x
  3. Step 3: Cross multiply
    286,158x = 622,070 × 622,070
  4. Step 4: Simplify right side
    286,158x = 386,971,084,900
  5. Step 5: Solve for x
    x = 386,971,084,900/286,158
  6. Step 6: Final answer
    x = 1,352,298.68

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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.