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Finding the Third Proportional to 535,287 and 782,829

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Solution

The third proportional to 535,287 and 782,829 is: 1,144,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,287 : 782,829 = 782,829 : x
  2. Step 2: Convert to fraction form
    535,287/782,829 = 782,829/x
  3. Step 3: Cross multiply
    535,287x = 782,829 × 782,829
  4. Step 4: Simplify right side
    535,287x = 612,821,243,241
  5. Step 5: Solve for x
    x = 612,821,243,241/535,287
  6. Step 6: Final answer
    x = 1,144,846.12

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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.