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Finding the Third Proportional to 128,913 and 277,574

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Solution

The third proportional to 128,913 and 277,574 is: 597,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,913 : 277,574 = 277,574 : x
  2. Step 2: Convert to fraction form
    128,913/277,574 = 277,574/x
  3. Step 3: Cross multiply
    128,913x = 277,574 × 277,574
  4. Step 4: Simplify right side
    128,913x = 77,047,325,476
  5. Step 5: Solve for x
    x = 77,047,325,476/128,913
  6. Step 6: Final answer
    x = 597,669.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.