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Finding the Third Proportional to 425,964 and 646,722

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Solution

The third proportional to 425,964 and 646,722 is: 981,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,964 : 646,722 = 646,722 : x
  2. Step 2: Convert to fraction form
    425,964/646,722 = 646,722/x
  3. Step 3: Cross multiply
    425,964x = 646,722 × 646,722
  4. Step 4: Simplify right side
    425,964x = 418,249,345,284
  5. Step 5: Solve for x
    x = 418,249,345,284/425,964
  6. Step 6: Final answer
    x = 981,888.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.