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Finding the Third Proportional to 347,139 and 460,614

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Solution

The third proportional to 347,139 and 460,614 is: 611,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,139 : 460,614 = 460,614 : x
  2. Step 2: Convert to fraction form
    347,139/460,614 = 460,614/x
  3. Step 3: Cross multiply
    347,139x = 460,614 × 460,614
  4. Step 4: Simplify right side
    347,139x = 212,165,256,996
  5. Step 5: Solve for x
    x = 212,165,256,996/347,139
  6. Step 6: Final answer
    x = 611,182.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.