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Finding the Third Proportional to 262,451 and 574,778

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Solution

The third proportional to 262,451 and 574,778 is: 1,258,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,451 : 574,778 = 574,778 : x
  2. Step 2: Convert to fraction form
    262,451/574,778 = 574,778/x
  3. Step 3: Cross multiply
    262,451x = 574,778 × 574,778
  4. Step 4: Simplify right side
    262,451x = 330,369,749,284
  5. Step 5: Solve for x
    x = 330,369,749,284/262,451
  6. Step 6: Final answer
    x = 1,258,786.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.