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Finding the Third Proportional to 295,564 and 446,450

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Solution

The third proportional to 295,564 and 446,450 is: 674,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,564 : 446,450 = 446,450 : x
  2. Step 2: Convert to fraction form
    295,564/446,450 = 446,450/x
  3. Step 3: Cross multiply
    295,564x = 446,450 × 446,450
  4. Step 4: Simplify right side
    295,564x = 199,317,602,500
  5. Step 5: Solve for x
    x = 199,317,602,500/295,564
  6. Step 6: Final answer
    x = 674,363.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.