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Finding the Third Proportional to 446,762.25 and 674,264.25

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Solution

The third proportional to 446,762.25 and 674,264.25 is: 1,017,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,762.25 : 674,264.25 = 674,264.25 : x
  2. Step 2: Convert to fraction form
    446,762.25/674,264.25 = 674,264.25/x
  3. Step 3: Cross multiply
    446,762.25x = 674,264.25 × 674,264.25
  4. Step 4: Simplify right side
    446,762.25x = 454,632,278,828.06
  5. Step 5: Solve for x
    x = 454,632,278,828.06/446,762.25
  6. Step 6: Final answer
    x = 1,017,615.70

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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.