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Finding the Third Proportional to 295,560 and 446,444

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Solution

The third proportional to 295,560 and 446,444 is: 674,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,560 : 446,444 = 446,444 : x
  2. Step 2: Convert to fraction form
    295,560/446,444 = 446,444/x
  3. Step 3: Cross multiply
    295,560x = 446,444 × 446,444
  4. Step 4: Simplify right side
    295,560x = 199,312,245,136
  5. Step 5: Solve for x
    x = 199,312,245,136/295,560
  6. Step 6: Final answer
    x = 674,354.60

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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.