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Finding the Third Proportional to 344,064 and 547,840

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Solution

The third proportional to 344,064 and 547,840 is: 872,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,064 : 547,840 = 547,840 : x
  2. Step 2: Convert to fraction form
    344,064/547,840 = 547,840/x
  3. Step 3: Cross multiply
    344,064x = 547,840 × 547,840
  4. Step 4: Simplify right side
    344,064x = 300,128,665,600
  5. Step 5: Solve for x
    x = 300,128,665,600/344,064
  6. Step 6: Final answer
    x = 872,304.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.