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Finding the Third Proportional to 458,014.50 and 673,335

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Solution

The third proportional to 458,014.50 and 673,335 is: 989,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,014.50 : 673,335 = 673,335 : x
  2. Step 2: Convert to fraction form
    458,014.50/673,335 = 673,335/x
  3. Step 3: Cross multiply
    458,014.50x = 673,335 × 673,335
  4. Step 4: Simplify right side
    458,014.50x = 453,380,022,225
  5. Step 5: Solve for x
    x = 453,380,022,225/458,014.50
  6. Step 6: Final answer
    x = 989,881.37

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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.