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Finding the Third Proportional to 656,260 and 965,958

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Solution

The third proportional to 656,260 and 965,958 is: 1,421,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,260 : 965,958 = 965,958 : x
  2. Step 2: Convert to fraction form
    656,260/965,958 = 965,958/x
  3. Step 3: Cross multiply
    656,260x = 965,958 × 965,958
  4. Step 4: Simplify right side
    656,260x = 933,074,857,764
  5. Step 5: Solve for x
    x = 933,074,857,764/656,260
  6. Step 6: Final answer
    x = 1,421,806.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.