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Finding the Third Proportional to 296,119.50 and 422,030.25

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Solution

The third proportional to 296,119.50 and 422,030.25 is: 601,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,119.50 : 422,030.25 = 422,030.25 : x
  2. Step 2: Convert to fraction form
    296,119.50/422,030.25 = 422,030.25/x
  3. Step 3: Cross multiply
    296,119.50x = 422,030.25 × 422,030.25
  4. Step 4: Simplify right side
    296,119.50x = 178,109,531,915.06
  5. Step 5: Solve for x
    x = 178,109,531,915.06/296,119.50
  6. Step 6: Final answer
    x = 601,478.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.