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Finding the Third Proportional to 350,515.69 and 501,246.56

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Solution

The third proportional to 350,515.69 and 501,246.56 is: 716,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,515.69 : 501,246.56 = 501,246.56 : x
  2. Step 2: Convert to fraction form
    350,515.69/501,246.56 = 501,246.56/x
  3. Step 3: Cross multiply
    350,515.69x = 501,246.56 × 501,246.56
  4. Step 4: Simplify right side
    350,515.69x = 251,248,116,418.07
  5. Step 5: Solve for x
    x = 251,248,116,418.07/350,515.69
  6. Step 6: Final answer
    x = 716,795.64

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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.