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Finding the Third Proportional to 612,203 and 965,257

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Solution

The third proportional to 612,203 and 965,257 is: 1,521,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,203 : 965,257 = 965,257 : x
  2. Step 2: Convert to fraction form
    612,203/965,257 = 965,257/x
  3. Step 3: Cross multiply
    612,203x = 965,257 × 965,257
  4. Step 4: Simplify right side
    612,203x = 931,721,076,049
  5. Step 5: Solve for x
    x = 931,721,076,049/612,203
  6. Step 6: Final answer
    x = 1,521,915.24

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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.