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Finding the Third Proportional to 294,507 and 444,215

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Solution

The third proportional to 294,507 and 444,215 is: 670,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,507 : 444,215 = 444,215 : x
  2. Step 2: Convert to fraction form
    294,507/444,215 = 444,215/x
  3. Step 3: Cross multiply
    294,507x = 444,215 × 444,215
  4. Step 4: Simplify right side
    294,507x = 197,326,966,225
  5. Step 5: Solve for x
    x = 197,326,966,225/294,507
  6. Step 6: Final answer
    x = 670,024.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.