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Finding the Third Proportional to 350,014 and 542,986

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Solution

The third proportional to 350,014 and 542,986 is: 842,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,014 : 542,986 = 542,986 : x
  2. Step 2: Convert to fraction form
    350,014/542,986 = 542,986/x
  3. Step 3: Cross multiply
    350,014x = 542,986 × 542,986
  4. Step 4: Simplify right side
    350,014x = 294,833,796,196
  5. Step 5: Solve for x
    x = 294,833,796,196/350,014
  6. Step 6: Final answer
    x = 842,348.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.