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Finding the Third Proportional to 535,404 and 713,778

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Solution

The third proportional to 535,404 and 713,778 is: 951,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,404 : 713,778 = 713,778 : x
  2. Step 2: Convert to fraction form
    535,404/713,778 = 713,778/x
  3. Step 3: Cross multiply
    535,404x = 713,778 × 713,778
  4. Step 4: Simplify right side
    535,404x = 509,479,033,284
  5. Step 5: Solve for x
    x = 509,479,033,284/535,404
  6. Step 6: Final answer
    x = 951,578.68

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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.