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Finding the Third Proportional to 457,846.13 and 673,528.69

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Solution

The third proportional to 457,846.13 and 673,528.69 is: 990,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,846.13 : 673,528.69 = 673,528.69 : x
  2. Step 2: Convert to fraction form
    457,846.13/673,528.69 = 673,528.69/x
  3. Step 3: Cross multiply
    457,846.13x = 673,528.69 × 673,528.69
  4. Step 4: Simplify right side
    457,846.13x = 453,640,892,885.47
  5. Step 5: Solve for x
    x = 453,640,892,885.47/457,846.13
  6. Step 6: Final answer
    x = 990,815.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.