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Finding the Third Proportional to 301,047 and 663,527

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Solution

The third proportional to 301,047 and 663,527 is: 1,462,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,047 : 663,527 = 663,527 : x
  2. Step 2: Convert to fraction form
    301,047/663,527 = 663,527/x
  3. Step 3: Cross multiply
    301,047x = 663,527 × 663,527
  4. Step 4: Simplify right side
    301,047x = 440,268,079,729
  5. Step 5: Solve for x
    x = 440,268,079,729/301,047
  6. Step 6: Final answer
    x = 1,462,456.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.