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Finding the Third Proportional to 277,278.19 and 409,348.69

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Solution

The third proportional to 277,278.19 and 409,348.69 is: 604,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,278.19 : 409,348.69 = 409,348.69 : x
  2. Step 2: Convert to fraction form
    277,278.19/409,348.69 = 409,348.69/x
  3. Step 3: Cross multiply
    277,278.19x = 409,348.69 × 409,348.69
  4. Step 4: Simplify right side
    277,278.19x = 167,566,347,957.97
  5. Step 5: Solve for x
    x = 167,566,347,957.97/277,278.19
  6. Step 6: Final answer
    x = 604,325.75

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.