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Finding the Third Proportional to 367,135 and 571,643

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Solution

The third proportional to 367,135 and 571,643 is: 890,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,135 : 571,643 = 571,643 : x
  2. Step 2: Convert to fraction form
    367,135/571,643 = 571,643/x
  3. Step 3: Cross multiply
    367,135x = 571,643 × 571,643
  4. Step 4: Simplify right side
    367,135x = 326,775,719,449
  5. Step 5: Solve for x
    x = 326,775,719,449/367,135
  6. Step 6: Final answer
    x = 890,069.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.