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Finding the Third Proportional to 537,424.50 and 803,328.75

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Solution

The third proportional to 537,424.50 and 803,328.75 is: 1,200,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,424.50 : 803,328.75 = 803,328.75 : x
  2. Step 2: Convert to fraction form
    537,424.50/803,328.75 = 803,328.75/x
  3. Step 3: Cross multiply
    537,424.50x = 803,328.75 × 803,328.75
  4. Step 4: Simplify right side
    537,424.50x = 645,337,080,576.56
  5. Step 5: Solve for x
    x = 645,337,080,576.56/537,424.50
  6. Step 6: Final answer
    x = 1,200,795.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.