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Finding the Third Proportional to 397,669.50 and 602,295.75

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Solution

The third proportional to 397,669.50 and 602,295.75 is: 912,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,669.50 : 602,295.75 = 602,295.75 : x
  2. Step 2: Convert to fraction form
    397,669.50/602,295.75 = 602,295.75/x
  3. Step 3: Cross multiply
    397,669.50x = 602,295.75 × 602,295.75
  4. Step 4: Simplify right side
    397,669.50x = 362,760,170,468.06
  5. Step 5: Solve for x
    x = 362,760,170,468.06/397,669.50
  6. Step 6: Final answer
    x = 912,215.22

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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.