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Finding the Third Proportional to 458,301.80 and 673,406.16

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Solution

The third proportional to 458,301.80 and 673,406.16 is: 989,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,301.80 : 673,406.16 = 673,406.16 : x
  2. Step 2: Convert to fraction form
    458,301.80/673,406.16 = 673,406.16/x
  3. Step 3: Cross multiply
    458,301.80x = 673,406.16 × 673,406.16
  4. Step 4: Simplify right side
    458,301.80x = 453,475,851,275.40
  5. Step 5: Solve for x
    x = 453,475,851,275.40/458,301.80
  6. Step 6: Final answer
    x = 989,469.94

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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.