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Finding the Third Proportional to 227,410 and 355,674

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Solution

The third proportional to 227,410 and 355,674 is: 556,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,410 : 355,674 = 355,674 : x
  2. Step 2: Convert to fraction form
    227,410/355,674 = 355,674/x
  3. Step 3: Cross multiply
    227,410x = 355,674 × 355,674
  4. Step 4: Simplify right side
    227,410x = 126,503,994,276
  5. Step 5: Solve for x
    x = 126,503,994,276/227,410
  6. Step 6: Final answer
    x = 556,281.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.