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Finding the Third Proportional to 237,638.25 and 528,407.25

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Solution

The third proportional to 237,638.25 and 528,407.25 is: 1,174,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,638.25 : 528,407.25 = 528,407.25 : x
  2. Step 2: Convert to fraction form
    237,638.25/528,407.25 = 528,407.25/x
  3. Step 3: Cross multiply
    237,638.25x = 528,407.25 × 528,407.25
  4. Step 4: Simplify right side
    237,638.25x = 279,214,221,852.56
  5. Step 5: Solve for x
    x = 279,214,221,852.56/237,638.25
  6. Step 6: Final answer
    x = 1,174,954.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.