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Finding the Third Proportional to 524,652.19 and 620,454.94

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Solution

The third proportional to 524,652.19 and 620,454.94 is: 733,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652.19 : 620,454.94 = 620,454.94 : x
  2. Step 2: Convert to fraction form
    524,652.19/620,454.94 = 620,454.94/x
  3. Step 3: Cross multiply
    524,652.19x = 620,454.94 × 620,454.94
  4. Step 4: Simplify right side
    524,652.19x = 384,964,329,468.13
  5. Step 5: Solve for x
    x = 384,964,329,468.13/524,652.19
  6. Step 6: Final answer
    x = 733,751.50

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.