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Finding the Third Proportional to 358,767 and 562,851

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Solution

The third proportional to 358,767 and 562,851 is: 883,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,767 : 562,851 = 562,851 : x
  2. Step 2: Convert to fraction form
    358,767/562,851 = 562,851/x
  3. Step 3: Cross multiply
    358,767x = 562,851 × 562,851
  4. Step 4: Simplify right side
    358,767x = 316,801,248,201
  5. Step 5: Solve for x
    x = 316,801,248,201/358,767
  6. Step 6: Final answer
    x = 883,027.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.