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Finding the Third Proportional to 353,362 and 562,823

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Solution

The third proportional to 353,362 and 562,823 is: 896,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,362 : 562,823 = 562,823 : x
  2. Step 2: Convert to fraction form
    353,362/562,823 = 562,823/x
  3. Step 3: Cross multiply
    353,362x = 562,823 × 562,823
  4. Step 4: Simplify right side
    353,362x = 316,769,729,329
  5. Step 5: Solve for x
    x = 316,769,729,329/353,362
  6. Step 6: Final answer
    x = 896,445.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.