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Finding the Third Proportional to 458,166 and 673,518

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Solution

The third proportional to 458,166 and 673,518 is: 990,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,166 : 673,518 = 673,518 : x
  2. Step 2: Convert to fraction form
    458,166/673,518 = 673,518/x
  3. Step 3: Cross multiply
    458,166x = 673,518 × 673,518
  4. Step 4: Simplify right side
    458,166x = 453,626,496,324
  5. Step 5: Solve for x
    x = 453,626,496,324/458,166
  6. Step 6: Final answer
    x = 990,092.01

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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.