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Finding the Third Proportional to 384,420 and 586,112

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Solution

The third proportional to 384,420 and 586,112 is: 893,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,420 : 586,112 = 586,112 : x
  2. Step 2: Convert to fraction form
    384,420/586,112 = 586,112/x
  3. Step 3: Cross multiply
    384,420x = 586,112 × 586,112
  4. Step 4: Simplify right side
    384,420x = 343,527,276,544
  5. Step 5: Solve for x
    x = 343,527,276,544/384,420
  6. Step 6: Final answer
    x = 893,624.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.