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Finding the Third Proportional to 345,753 and 466,100

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Solution

The third proportional to 345,753 and 466,100 is: 628,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,753 : 466,100 = 466,100 : x
  2. Step 2: Convert to fraction form
    345,753/466,100 = 466,100/x
  3. Step 3: Cross multiply
    345,753x = 466,100 × 466,100
  4. Step 4: Simplify right side
    345,753x = 217,249,210,000
  5. Step 5: Solve for x
    x = 217,249,210,000/345,753
  6. Step 6: Final answer
    x = 628,336.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.