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Finding the Third Proportional to 339,985.50 and 460,053

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Solution

The third proportional to 339,985.50 and 460,053 is: 622,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,985.50 : 460,053 = 460,053 : x
  2. Step 2: Convert to fraction form
    339,985.50/460,053 = 460,053/x
  3. Step 3: Cross multiply
    339,985.50x = 460,053 × 460,053
  4. Step 4: Simplify right side
    339,985.50x = 211,648,762,809
  5. Step 5: Solve for x
    x = 211,648,762,809/339,985.50
  6. Step 6: Final answer
    x = 622,522.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.