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Finding the Third Proportional to 228,772 and 347,046

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Solution

The third proportional to 228,772 and 347,046 is: 526,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,772 : 347,046 = 347,046 : x
  2. Step 2: Convert to fraction form
    228,772/347,046 = 347,046/x
  3. Step 3: Cross multiply
    228,772x = 347,046 × 347,046
  4. Step 4: Simplify right side
    228,772x = 120,440,926,116
  5. Step 5: Solve for x
    x = 120,440,926,116/228,772
  6. Step 6: Final answer
    x = 526,467.08

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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.