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Finding the Third Proportional to 458,184 and 673,545

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Solution

The third proportional to 458,184 and 673,545 is: 990,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,184 : 673,545 = 673,545 : x
  2. Step 2: Convert to fraction form
    458,184/673,545 = 673,545/x
  3. Step 3: Cross multiply
    458,184x = 673,545 × 673,545
  4. Step 4: Simplify right side
    458,184x = 453,662,867,025
  5. Step 5: Solve for x
    x = 453,662,867,025/458,184
  6. Step 6: Final answer
    x = 990,132.49

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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.