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Finding the Third Proportional to 295,317 and 446,499

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Solution

The third proportional to 295,317 and 446,499 is: 675,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,317 : 446,499 = 446,499 : x
  2. Step 2: Convert to fraction form
    295,317/446,499 = 446,499/x
  3. Step 3: Cross multiply
    295,317x = 446,499 × 446,499
  4. Step 4: Simplify right side
    295,317x = 199,361,357,001
  5. Step 5: Solve for x
    x = 199,361,357,001/295,317
  6. Step 6: Final answer
    x = 675,075.79

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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.