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Finding the Third Proportional to 612,201.38 and 965,253.38

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Solution

The third proportional to 612,201.38 and 965,253.38 is: 1,521,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,201.38 : 965,253.38 = 965,253.38 : x
  2. Step 2: Convert to fraction form
    612,201.38/965,253.38 = 965,253.38/x
  3. Step 3: Cross multiply
    612,201.38x = 965,253.38 × 965,253.38
  4. Step 4: Simplify right side
    612,201.38x = 931,714,077,948.89
  5. Step 5: Solve for x
    x = 931,714,077,948.89/612,201.38
  6. Step 6: Final answer
    x = 1,521,907.85

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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.