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Finding the Third Proportional to 262,758 and 574,592

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Solution

The third proportional to 262,758 and 574,592 is: 1,256,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,758 : 574,592 = 574,592 : x
  2. Step 2: Convert to fraction form
    262,758/574,592 = 574,592/x
  3. Step 3: Cross multiply
    262,758x = 574,592 × 574,592
  4. Step 4: Simplify right side
    262,758x = 330,155,966,464
  5. Step 5: Solve for x
    x = 330,155,966,464/262,758
  6. Step 6: Final answer
    x = 1,256,502.05

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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.