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Finding the Third Proportional to 344,365.13 and 542,958.38

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Solution

The third proportional to 344,365.13 and 542,958.38 is: 856,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,365.13 : 542,958.38 = 542,958.38 : x
  2. Step 2: Convert to fraction form
    344,365.13/542,958.38 = 542,958.38/x
  3. Step 3: Cross multiply
    344,365.13x = 542,958.38 × 542,958.38
  4. Step 4: Simplify right side
    344,365.13x = 294,803,796,982.64
  5. Step 5: Solve for x
    x = 294,803,796,982.64/344,365.13
  6. Step 6: Final answer
    x = 856,079.13

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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.