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Finding the Third Proportional to 535,284 and 782,824.50

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Solution

The third proportional to 535,284 and 782,824.50 is: 1,144,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,284 : 782,824.50 = 782,824.50 : x
  2. Step 2: Convert to fraction form
    535,284/782,824.50 = 782,824.50/x
  3. Step 3: Cross multiply
    535,284x = 782,824.50 × 782,824.50
  4. Step 4: Simplify right side
    535,284x = 612,814,197,800.25
  5. Step 5: Solve for x
    x = 612,814,197,800.25/535,284
  6. Step 6: Final answer
    x = 1,144,839.37

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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.