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Finding the Third Proportional to 633,954 and 931,524

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Solution

The third proportional to 633,954 and 931,524 is: 1,368,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,954 : 931,524 = 931,524 : x
  2. Step 2: Convert to fraction form
    633,954/931,524 = 931,524/x
  3. Step 3: Cross multiply
    633,954x = 931,524 × 931,524
  4. Step 4: Simplify right side
    633,954x = 867,736,962,576
  5. Step 5: Solve for x
    x = 867,736,962,576/633,954
  6. Step 6: Final answer
    x = 1,368,769.60

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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.