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Finding the Third Proportional to 373,858 and 562,285

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Solution

The third proportional to 373,858 and 562,285 is: 845,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,858 : 562,285 = 562,285 : x
  2. Step 2: Convert to fraction form
    373,858/562,285 = 562,285/x
  3. Step 3: Cross multiply
    373,858x = 562,285 × 562,285
  4. Step 4: Simplify right side
    373,858x = 316,164,421,225
  5. Step 5: Solve for x
    x = 316,164,421,225/373,858
  6. Step 6: Final answer
    x = 845,680.50

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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.