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Finding the Third Proportional to 358,323.75 and 542,072.25

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Solution

The third proportional to 358,323.75 and 542,072.25 is: 820,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,323.75 : 542,072.25 = 542,072.25 : x
  2. Step 2: Convert to fraction form
    358,323.75/542,072.25 = 542,072.25/x
  3. Step 3: Cross multiply
    358,323.75x = 542,072.25 × 542,072.25
  4. Step 4: Simplify right side
    358,323.75x = 293,842,324,220.06
  5. Step 5: Solve for x
    x = 293,842,324,220.06/358,323.75
  6. Step 6: Final answer
    x = 820,047.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.