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Finding the Third Proportional to 351,016 and 501,604

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Solution

The third proportional to 351,016 and 501,604 is: 716,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,016 : 501,604 = 501,604 : x
  2. Step 2: Convert to fraction form
    351,016/501,604 = 501,604/x
  3. Step 3: Cross multiply
    351,016x = 501,604 × 501,604
  4. Step 4: Simplify right side
    351,016x = 251,606,572,816
  5. Step 5: Solve for x
    x = 251,606,572,816/351,016
  6. Step 6: Final answer
    x = 716,795.17

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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.