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Finding the Third Proportional to 535,362 and 782,928

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Solution

The third proportional to 535,362 and 782,928 is: 1,144,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,362 : 782,928 = 782,928 : x
  2. Step 2: Convert to fraction form
    535,362/782,928 = 782,928/x
  3. Step 3: Cross multiply
    535,362x = 782,928 × 782,928
  4. Step 4: Simplify right side
    535,362x = 612,976,253,184
  5. Step 5: Solve for x
    x = 612,976,253,184/535,362
  6. Step 6: Final answer
    x = 1,144,975.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.