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Finding the Third Proportional to 277,022 and 597,784

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Solution

The third proportional to 277,022 and 597,784 is: 1,289,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,022 : 597,784 = 597,784 : x
  2. Step 2: Convert to fraction form
    277,022/597,784 = 597,784/x
  3. Step 3: Cross multiply
    277,022x = 597,784 × 597,784
  4. Step 4: Simplify right side
    277,022x = 357,345,710,656
  5. Step 5: Solve for x
    x = 357,345,710,656/277,022
  6. Step 6: Final answer
    x = 1,289,954.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.