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Finding the Third Proportional to 277,113 and 405,798

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Solution

The third proportional to 277,113 and 405,798 is: 594,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,113 : 405,798 = 405,798 : x
  2. Step 2: Convert to fraction form
    277,113/405,798 = 405,798/x
  3. Step 3: Cross multiply
    277,113x = 405,798 × 405,798
  4. Step 4: Simplify right side
    277,113x = 164,672,016,804
  5. Step 5: Solve for x
    x = 164,672,016,804/277,113
  6. Step 6: Final answer
    x = 594,241.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.