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Finding the Third Proportional to 277,916,216 and 593,998,984

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Solution

The third proportional to 277,916,216 and 593,998,984 is: 1,269,572,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,916,216 : 593,998,984 = 593,998,984 : x
  2. Step 2: Convert to fraction form
    277,916,216/593,998,984 = 593,998,984/x
  3. Step 3: Cross multiply
    277,916,216x = 593,998,984 × 593,998,984
  4. Step 4: Simplify right side
    277,916,216x = 352,834,792,993,032,256
  5. Step 5: Solve for x
    x = 352,834,792,993,032,256/277,916,216
  6. Step 6: Final answer
    x = 1,269,572,528.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.