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Finding the Third Proportional to 492,183.84 and 803,684.53

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Solution

The third proportional to 492,183.84 and 803,684.53 is: 1,312,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,183.84 : 803,684.53 = 803,684.53 : x
  2. Step 2: Convert to fraction form
    492,183.84/803,684.53 = 803,684.53/x
  3. Step 3: Cross multiply
    492,183.84x = 803,684.53 × 803,684.53
  4. Step 4: Simplify right side
    492,183.84x = 645,908,825,770.53
  5. Step 5: Solve for x
    x = 645,908,825,770.53/492,183.84
  6. Step 6: Final answer
    x = 1,312,332.44

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.