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Finding the Third Proportional to 285,768 and 622,332

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Solution

The third proportional to 285,768 and 622,332 is: 1,355,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,768 : 622,332 = 622,332 : x
  2. Step 2: Convert to fraction form
    285,768/622,332 = 622,332/x
  3. Step 3: Cross multiply
    285,768x = 622,332 × 622,332
  4. Step 4: Simplify right side
    285,768x = 387,297,118,224
  5. Step 5: Solve for x
    x = 387,297,118,224/285,768
  6. Step 6: Final answer
    x = 1,355,285.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.