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Finding the Third Proportional to 535,269.50 and 769,370

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Solution

The third proportional to 535,269.50 and 769,370 is: 1,105,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,269.50 : 769,370 = 769,370 : x
  2. Step 2: Convert to fraction form
    535,269.50/769,370 = 769,370/x
  3. Step 3: Cross multiply
    535,269.50x = 769,370 × 769,370
  4. Step 4: Simplify right side
    535,269.50x = 591,930,196,900
  5. Step 5: Solve for x
    x = 591,930,196,900/535,269.50
  6. Step 6: Final answer
    x = 1,105,854.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.