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Finding the Third Proportional to 524,652.19 and 783,730.69

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Solution

The third proportional to 524,652.19 and 783,730.69 is: 1,170,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652.19 : 783,730.69 = 783,730.69 : x
  2. Step 2: Convert to fraction form
    524,652.19/783,730.69 = 783,730.69/x
  3. Step 3: Cross multiply
    524,652.19x = 783,730.69 × 783,730.69
  4. Step 4: Simplify right side
    524,652.19x = 614,233,790,529.22
  5. Step 5: Solve for x
    x = 614,233,790,529.22/524,652.19
  6. Step 6: Final answer
    x = 1,170,744.74

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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.