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Finding the Third Proportional to 612,313.59 and 965,431.13

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Solution

The third proportional to 612,313.59 and 965,431.13 is: 1,522,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,313.59 : 965,431.13 = 965,431.13 : x
  2. Step 2: Convert to fraction form
    612,313.59/965,431.13 = 965,431.13/x
  3. Step 3: Cross multiply
    612,313.59x = 965,431.13 × 965,431.13
  4. Step 4: Simplify right side
    612,313.59x = 932,057,257,118.77
  5. Step 5: Solve for x
    x = 932,057,257,118.77/612,313.59
  6. Step 6: Final answer
    x = 1,522,189.39

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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.