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Finding the Third Proportional to 295,561 and 446,445.50

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Solution

The third proportional to 295,561 and 446,445.50 is: 674,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,561 : 446,445.50 = 446,445.50 : x
  2. Step 2: Convert to fraction form
    295,561/446,445.50 = 446,445.50/x
  3. Step 3: Cross multiply
    295,561x = 446,445.50 × 446,445.50
  4. Step 4: Simplify right side
    295,561x = 199,313,584,470.25
  5. Step 5: Solve for x
    x = 199,313,584,470.25/295,561
  6. Step 6: Final answer
    x = 674,356.85

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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.