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Finding the Third Proportional to 189,984 and 410,424

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Solution

The third proportional to 189,984 and 410,424 is: 886,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,984 : 410,424 = 410,424 : x
  2. Step 2: Convert to fraction form
    189,984/410,424 = 410,424/x
  3. Step 3: Cross multiply
    189,984x = 410,424 × 410,424
  4. Step 4: Simplify right side
    189,984x = 168,447,859,776
  5. Step 5: Solve for x
    x = 168,447,859,776/189,984
  6. Step 6: Final answer
    x = 886,642.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.