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Finding the Third Proportional to 286,233 and 621,674

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Solution

The third proportional to 286,233 and 621,674 is: 1,350,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,233 : 621,674 = 621,674 : x
  2. Step 2: Convert to fraction form
    286,233/621,674 = 621,674/x
  3. Step 3: Cross multiply
    286,233x = 621,674 × 621,674
  4. Step 4: Simplify right side
    286,233x = 386,478,562,276
  5. Step 5: Solve for x
    x = 386,478,562,276/286,233
  6. Step 6: Final answer
    x = 1,350,223.64

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Why These Related Problems?

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