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Finding the Third Proportional to 193,472 and 406,528

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Solution

The third proportional to 193,472 and 406,528 is: 854,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,472 : 406,528 = 406,528 : x
  2. Step 2: Convert to fraction form
    193,472/406,528 = 406,528/x
  3. Step 3: Cross multiply
    193,472x = 406,528 × 406,528
  4. Step 4: Simplify right side
    193,472x = 165,265,014,784
  5. Step 5: Solve for x
    x = 165,265,014,784/193,472
  6. Step 6: Final answer
    x = 854,206.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.