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Finding the Third Proportional to 306,054 and 656,380

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Solution

The third proportional to 306,054 and 656,380 is: 1,407,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,054 : 656,380 = 656,380 : x
  2. Step 2: Convert to fraction form
    306,054/656,380 = 656,380/x
  3. Step 3: Cross multiply
    306,054x = 656,380 × 656,380
  4. Step 4: Simplify right side
    306,054x = 430,834,704,400
  5. Step 5: Solve for x
    x = 430,834,704,400/306,054
  6. Step 6: Final answer
    x = 1,407,708.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.