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Finding the Third Proportional to 628,566 and 973,082.25

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Solution

The third proportional to 628,566 and 973,082.25 is: 1,506,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,566 : 973,082.25 = 973,082.25 : x
  2. Step 2: Convert to fraction form
    628,566/973,082.25 = 973,082.25/x
  3. Step 3: Cross multiply
    628,566x = 973,082.25 × 973,082.25
  4. Step 4: Simplify right side
    628,566x = 946,889,065,265.06
  5. Step 5: Solve for x
    x = 946,889,065,265.06/628,566
  6. Step 6: Final answer
    x = 1,506,427.43

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