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Finding the Third Proportional to 262,451 and 571,570

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Solution

The third proportional to 262,451 and 571,570 is: 1,244,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,451 : 571,570 = 571,570 : x
  2. Step 2: Convert to fraction form
    262,451/571,570 = 571,570/x
  3. Step 3: Cross multiply
    262,451x = 571,570 × 571,570
  4. Step 4: Simplify right side
    262,451x = 326,692,264,900
  5. Step 5: Solve for x
    x = 326,692,264,900/262,451
  6. Step 6: Final answer
    x = 1,244,774.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.