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Finding the Third Proportional to 350,023.50 and 528,242.25

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Solution

The third proportional to 350,023.50 and 528,242.25 is: 797,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,023.50 : 528,242.25 = 528,242.25 : x
  2. Step 2: Convert to fraction form
    350,023.50/528,242.25 = 528,242.25/x
  3. Step 3: Cross multiply
    350,023.50x = 528,242.25 × 528,242.25
  4. Step 4: Simplify right side
    350,023.50x = 279,039,874,685.06
  5. Step 5: Solve for x
    x = 279,039,874,685.06/350,023.50
  6. Step 6: Final answer
    x = 797,203.26

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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.