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Finding the Third Proportional to 535,270.50 and 782,802

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Solution

The third proportional to 535,270.50 and 782,802 is: 1,144,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,270.50 : 782,802 = 782,802 : x
  2. Step 2: Convert to fraction form
    535,270.50/782,802 = 782,802/x
  3. Step 3: Cross multiply
    535,270.50x = 782,802 × 782,802
  4. Step 4: Simplify right side
    535,270.50x = 612,778,971,204
  5. Step 5: Solve for x
    x = 612,778,971,204/535,270.50
  6. Step 6: Final answer
    x = 1,144,802.43

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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.