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Finding the Third Proportional to 295,661 and 648,548

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Solution

The third proportional to 295,661 and 648,548 is: 1,422,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,661 : 648,548 = 648,548 : x
  2. Step 2: Convert to fraction form
    295,661/648,548 = 648,548/x
  3. Step 3: Cross multiply
    295,661x = 648,548 × 648,548
  4. Step 4: Simplify right side
    295,661x = 420,614,508,304
  5. Step 5: Solve for x
    x = 420,614,508,304/295,661
  6. Step 6: Final answer
    x = 1,422,624.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.