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Finding the Third Proportional to 656,256 and 965,952

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Solution

The third proportional to 656,256 and 965,952 is: 1,421,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,256 : 965,952 = 965,952 : x
  2. Step 2: Convert to fraction form
    656,256/965,952 = 965,952/x
  3. Step 3: Cross multiply
    656,256x = 965,952 × 965,952
  4. Step 4: Simplify right side
    656,256x = 933,063,266,304
  5. Step 5: Solve for x
    x = 933,063,266,304/656,256
  6. Step 6: Final answer
    x = 1,421,797.69

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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.