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Finding the Third Proportional to 350,227.13 and 525,345.75

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Solution

The third proportional to 350,227.13 and 525,345.75 is: 788,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,227.13 : 525,345.75 = 525,345.75 : x
  2. Step 2: Convert to fraction form
    350,227.13/525,345.75 = 525,345.75/x
  3. Step 3: Cross multiply
    350,227.13x = 525,345.75 × 525,345.75
  4. Step 4: Simplify right side
    350,227.13x = 275,988,157,043.06
  5. Step 5: Solve for x
    x = 275,988,157,043.06/350,227.13
  6. Step 6: Final answer
    x = 788,026.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.