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Finding the Third Proportional to 524,429.44 and 793,734.19

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Solution

The third proportional to 524,429.44 and 793,734.19 is: 1,201,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,429.44 : 793,734.19 = 793,734.19 : x
  2. Step 2: Convert to fraction form
    524,429.44/793,734.19 = 793,734.19/x
  3. Step 3: Cross multiply
    524,429.44x = 793,734.19 × 793,734.19
  4. Step 4: Simplify right side
    524,429.44x = 630,013,960,406.29
  5. Step 5: Solve for x
    x = 630,013,960,406.29/524,429.44
  6. Step 6: Final answer
    x = 1,201,332.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.