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Finding the Third Proportional to 257,766 and 565,964

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Solution

The third proportional to 257,766 and 565,964 is: 1,242,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,766 : 565,964 = 565,964 : x
  2. Step 2: Convert to fraction form
    257,766/565,964 = 565,964/x
  3. Step 3: Cross multiply
    257,766x = 565,964 × 565,964
  4. Step 4: Simplify right side
    257,766x = 320,315,249,296
  5. Step 5: Solve for x
    x = 320,315,249,296/257,766
  6. Step 6: Final answer
    x = 1,242,659.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.