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Finding the Third Proportional to 350,404 and 501,073

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Solution

The third proportional to 350,404 and 501,073 is: 716,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,404 : 501,073 = 501,073 : x
  2. Step 2: Convert to fraction form
    350,404/501,073 = 501,073/x
  3. Step 3: Cross multiply
    350,404x = 501,073 × 501,073
  4. Step 4: Simplify right side
    350,404x = 251,074,151,329
  5. Step 5: Solve for x
    x = 251,074,151,329/350,404
  6. Step 6: Final answer
    x = 716,527.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.