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Finding the Third Proportional to 342,408.50 and 493,203.50

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Solution

The third proportional to 342,408.50 and 493,203.50 is: 710,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,408.50 : 493,203.50 = 493,203.50 : x
  2. Step 2: Convert to fraction form
    342,408.50/493,203.50 = 493,203.50/x
  3. Step 3: Cross multiply
    342,408.50x = 493,203.50 × 493,203.50
  4. Step 4: Simplify right side
    342,408.50x = 243,249,692,412.25
  5. Step 5: Solve for x
    x = 243,249,692,412.25/342,408.50
  6. Step 6: Final answer
    x = 710,407.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.