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Finding the Third Proportional to 535,416 and 713,796

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Solution

The third proportional to 535,416 and 713,796 is: 951,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,416 : 713,796 = 713,796 : x
  2. Step 2: Convert to fraction form
    535,416/713,796 = 713,796/x
  3. Step 3: Cross multiply
    535,416x = 713,796 × 713,796
  4. Step 4: Simplify right side
    535,416x = 509,504,729,616
  5. Step 5: Solve for x
    x = 509,504,729,616/535,416
  6. Step 6: Final answer
    x = 951,605.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.