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Finding the Third Proportional to 350,026.50 and 528,247.50

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Solution

The third proportional to 350,026.50 and 528,247.50 is: 797,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,026.50 : 528,247.50 = 528,247.50 : x
  2. Step 2: Convert to fraction form
    350,026.50/528,247.50 = 528,247.50/x
  3. Step 3: Cross multiply
    350,026.50x = 528,247.50 × 528,247.50
  4. Step 4: Simplify right side
    350,026.50x = 279,045,421,256.25
  5. Step 5: Solve for x
    x = 279,045,421,256.25/350,026.50
  6. Step 6: Final answer
    x = 797,212.27

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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.