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Finding the Third Proportional to 347,047.50 and 472,783.50

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Solution

The third proportional to 347,047.50 and 472,783.50 is: 644,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,047.50 : 472,783.50 = 472,783.50 : x
  2. Step 2: Convert to fraction form
    347,047.50/472,783.50 = 472,783.50/x
  3. Step 3: Cross multiply
    347,047.50x = 472,783.50 × 472,783.50
  4. Step 4: Simplify right side
    347,047.50x = 223,524,237,872.25
  5. Step 5: Solve for x
    x = 223,524,237,872.25/347,047.50
  6. Step 6: Final answer
    x = 644,073.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.