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Finding the Third Proportional to 524,344.50 and 1,117,323

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Solution

The third proportional to 524,344.50 and 1,117,323 is: 2,380,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,344.50 : 1,117,323 = 1,117,323 : x
  2. Step 2: Convert to fraction form
    524,344.50/1,117,323 = 1,117,323/x
  3. Step 3: Cross multiply
    524,344.50x = 1,117,323 × 1,117,323
  4. Step 4: Simplify right side
    524,344.50x = 1,248,410,686,329
  5. Step 5: Solve for x
    x = 1,248,410,686,329/524,344.50
  6. Step 6: Final answer
    x = 2,380,897.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.