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Finding the Third Proportional to 397,663.25 and 602,283.38

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Solution

The third proportional to 397,663.25 and 602,283.38 is: 912,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,663.25 : 602,283.38 = 602,283.38 : x
  2. Step 2: Convert to fraction form
    397,663.25/602,283.38 = 602,283.38/x
  3. Step 3: Cross multiply
    397,663.25x = 602,283.38 × 602,283.38
  4. Step 4: Simplify right side
    397,663.25x = 362,745,263,801.39
  5. Step 5: Solve for x
    x = 362,745,263,801.39/397,663.25
  6. Step 6: Final answer
    x = 912,192.07

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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.