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Finding the Third Proportional to 277,938.84 and 460,014.19

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Solution

The third proportional to 277,938.84 and 460,014.19 is: 761,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,938.84 : 460,014.19 = 460,014.19 : x
  2. Step 2: Convert to fraction form
    277,938.84/460,014.19 = 460,014.19/x
  3. Step 3: Cross multiply
    277,938.84x = 460,014.19 × 460,014.19
  4. Step 4: Simplify right side
    277,938.84x = 211,613,052,701.29
  5. Step 5: Solve for x
    x = 211,613,052,701.29/277,938.84
  6. Step 6: Final answer
    x = 761,365.52

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.