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Finding the Third Proportional to 640,610 and 965,105.50

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Solution

The third proportional to 640,610 and 965,105.50 is: 1,453,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,610 : 965,105.50 = 965,105.50 : x
  2. Step 2: Convert to fraction form
    640,610/965,105.50 = 965,105.50/x
  3. Step 3: Cross multiply
    640,610x = 965,105.50 × 965,105.50
  4. Step 4: Simplify right side
    640,610x = 931,428,626,130.25
  5. Step 5: Solve for x
    x = 931,428,626,130.25/640,610
  6. Step 6: Final answer
    x = 1,453,971.41

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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.