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Finding the Third Proportional to 286,944 and 421,200

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Solution

The third proportional to 286,944 and 421,200 is: 618,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,944 : 421,200 = 421,200 : x
  2. Step 2: Convert to fraction form
    286,944/421,200 = 421,200/x
  3. Step 3: Cross multiply
    286,944x = 421,200 × 421,200
  4. Step 4: Simplify right side
    286,944x = 177,409,440,000
  5. Step 5: Solve for x
    x = 177,409,440,000/286,944
  6. Step 6: Final answer
    x = 618,272.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.