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Finding the Third Proportional to 277,026 and 597,792

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Solution

The third proportional to 277,026 and 597,792 is: 1,289,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,026 : 597,792 = 597,792 : x
  2. Step 2: Convert to fraction form
    277,026/597,792 = 597,792/x
  3. Step 3: Cross multiply
    277,026x = 597,792 × 597,792
  4. Step 4: Simplify right side
    277,026x = 357,355,275,264
  5. Step 5: Solve for x
    x = 357,355,275,264/277,026
  6. Step 6: Final answer
    x = 1,289,970.17

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