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Finding the Third Proportional to 433,578 and 681,051

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Solution

The third proportional to 433,578 and 681,051 is: 1,069,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,578 : 681,051 = 681,051 : x
  2. Step 2: Convert to fraction form
    433,578/681,051 = 681,051/x
  3. Step 3: Cross multiply
    433,578x = 681,051 × 681,051
  4. Step 4: Simplify right side
    433,578x = 463,830,464,601
  5. Step 5: Solve for x
    x = 463,830,464,601/433,578
  6. Step 6: Final answer
    x = 1,069,773.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.