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Finding the Third Proportional to 628,567 and 973,079

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Solution

The third proportional to 628,567 and 973,079 is: 1,506,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,567 : 973,079 = 973,079 : x
  2. Step 2: Convert to fraction form
    628,567/973,079 = 973,079/x
  3. Step 3: Cross multiply
    628,567x = 973,079 × 973,079
  4. Step 4: Simplify right side
    628,567x = 946,882,740,241
  5. Step 5: Solve for x
    x = 946,882,740,241/628,567
  6. Step 6: Final answer
    x = 1,506,414.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.