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Finding the Third Proportional to 650,270.25 and 1,035,603

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Solution

The third proportional to 650,270.25 and 1,035,603 is: 1,649,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,270.25 : 1,035,603 = 1,035,603 : x
  2. Step 2: Convert to fraction form
    650,270.25/1,035,603 = 1,035,603/x
  3. Step 3: Cross multiply
    650,270.25x = 1,035,603 × 1,035,603
  4. Step 4: Simplify right side
    650,270.25x = 1,072,473,573,609
  5. Step 5: Solve for x
    x = 1,072,473,573,609/650,270.25
  6. Step 6: Final answer
    x = 1,649,273.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.