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Finding the Third Proportional to 295,566 and 446,454

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Solution

The third proportional to 295,566 and 446,454 is: 674,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,566 : 446,454 = 446,454 : x
  2. Step 2: Convert to fraction form
    295,566/446,454 = 446,454/x
  3. Step 3: Cross multiply
    295,566x = 446,454 × 446,454
  4. Step 4: Simplify right side
    295,566x = 199,321,174,116
  5. Step 5: Solve for x
    x = 199,321,174,116/295,566
  6. Step 6: Final answer
    x = 674,371.12

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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.