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Finding the Third Proportional to 457,817.91 and 673,496.02

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Solution

The third proportional to 457,817.91 and 673,496.02 is: 990,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,817.91 : 673,496.02 = 673,496.02 : x
  2. Step 2: Convert to fraction form
    457,817.91/673,496.02 = 673,496.02/x
  3. Step 3: Cross multiply
    457,817.91x = 673,496.02 × 673,496.02
  4. Step 4: Simplify right side
    457,817.91x = 453,596,883,062.75
  5. Step 5: Solve for x
    x = 453,596,883,062.75/457,817.91
  6. Step 6: Final answer
    x = 990,780.13

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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.