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Finding the Third Proportional to 342,354 and 532,174.50

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Solution

The third proportional to 342,354 and 532,174.50 is: 827,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,354 : 532,174.50 = 532,174.50 : x
  2. Step 2: Convert to fraction form
    342,354/532,174.50 = 532,174.50/x
  3. Step 3: Cross multiply
    342,354x = 532,174.50 × 532,174.50
  4. Step 4: Simplify right side
    342,354x = 283,209,698,450.25
  5. Step 5: Solve for x
    x = 283,209,698,450.25/342,354
  6. Step 6: Final answer
    x = 827,242.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.