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Finding the Third Proportional to 189,577 and 438,878.50

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Solution

The third proportional to 189,577 and 438,878.50 is: 1,016,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,577 : 438,878.50 = 438,878.50 : x
  2. Step 2: Convert to fraction form
    189,577/438,878.50 = 438,878.50/x
  3. Step 3: Cross multiply
    189,577x = 438,878.50 × 438,878.50
  4. Step 4: Simplify right side
    189,577x = 192,614,337,762.25
  5. Step 5: Solve for x
    x = 192,614,337,762.25/189,577
  6. Step 6: Final answer
    x = 1,016,021.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.