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Finding the Third Proportional to 458,295.75 and 673,409.25

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Solution

The third proportional to 458,295.75 and 673,409.25 is: 989,492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,295.75 : 673,409.25 = 673,409.25 : x
  2. Step 2: Convert to fraction form
    458,295.75/673,409.25 = 673,409.25/x
  3. Step 3: Cross multiply
    458,295.75x = 673,409.25 × 673,409.25
  4. Step 4: Simplify right side
    458,295.75x = 453,480,017,985.56
  5. Step 5: Solve for x
    x = 453,480,017,985.56/458,295.75
  6. Step 6: Final answer
    x = 989,492.09

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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.