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Finding the Third Proportional to 344,373 and 542,970

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Solution

The third proportional to 344,373 and 542,970 is: 856,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,373 : 542,970 = 542,970 : x
  2. Step 2: Convert to fraction form
    344,373/542,970 = 542,970/x
  3. Step 3: Cross multiply
    344,373x = 542,970 × 542,970
  4. Step 4: Simplify right side
    344,373x = 294,816,420,900
  5. Step 5: Solve for x
    x = 294,816,420,900/344,373
  6. Step 6: Final answer
    x = 856,096.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.