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Finding the Third Proportional to 189,046 and 415,364

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Solution

The third proportional to 189,046 and 415,364 is: 912,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,046 : 415,364 = 415,364 : x
  2. Step 2: Convert to fraction form
    189,046/415,364 = 415,364/x
  3. Step 3: Cross multiply
    189,046x = 415,364 × 415,364
  4. Step 4: Simplify right side
    189,046x = 172,527,252,496
  5. Step 5: Solve for x
    x = 172,527,252,496/189,046
  6. Step 6: Final answer
    x = 912,620.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.