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Finding the Third Proportional to 306,112 and 460,343

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Solution

The third proportional to 306,112 and 460,343 is: 692,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,112 : 460,343 = 460,343 : x
  2. Step 2: Convert to fraction form
    306,112/460,343 = 460,343/x
  3. Step 3: Cross multiply
    306,112x = 460,343 × 460,343
  4. Step 4: Simplify right side
    306,112x = 211,915,677,649
  5. Step 5: Solve for x
    x = 211,915,677,649/306,112
  6. Step 6: Final answer
    x = 692,281.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.