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Finding the Third Proportional to 262,756 and 574,588

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Solution

The third proportional to 262,756 and 574,588 is: 1,256,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,756 : 574,588 = 574,588 : x
  2. Step 2: Convert to fraction form
    262,756/574,588 = 574,588/x
  3. Step 3: Cross multiply
    262,756x = 574,588 × 574,588
  4. Step 4: Simplify right side
    262,756x = 330,151,369,744
  5. Step 5: Solve for x
    x = 330,151,369,744/262,756
  6. Step 6: Final answer
    x = 1,256,494.12

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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.