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Finding the Third Proportional to 612,215.44 and 965,277

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Solution

The third proportional to 612,215.44 and 965,277 is: 1,521,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,215.44 : 965,277 = 965,277 : x
  2. Step 2: Convert to fraction form
    612,215.44/965,277 = 965,277/x
  3. Step 3: Cross multiply
    612,215.44x = 965,277 × 965,277
  4. Step 4: Simplify right side
    612,215.44x = 931,759,686,729
  5. Step 5: Solve for x
    x = 931,759,686,729/612,215.44
  6. Step 6: Final answer
    x = 1,521,947.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.