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Finding the Third Proportional to 612,217 and 965,280

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Solution

The third proportional to 612,217 and 965,280 is: 1,521,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,217 : 965,280 = 965,280 : x
  2. Step 2: Convert to fraction form
    612,217/965,280 = 965,280/x
  3. Step 3: Cross multiply
    612,217x = 965,280 × 965,280
  4. Step 4: Simplify right side
    612,217x = 931,765,478,400
  5. Step 5: Solve for x
    x = 931,765,478,400/612,217
  6. Step 6: Final answer
    x = 1,521,952.97

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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.