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Finding the Third Proportional to 344,094.75 and 712,381.50

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Solution

The third proportional to 344,094.75 and 712,381.50 is: 1,474,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,094.75 : 712,381.50 = 712,381.50 : x
  2. Step 2: Convert to fraction form
    344,094.75/712,381.50 = 712,381.50/x
  3. Step 3: Cross multiply
    344,094.75x = 712,381.50 × 712,381.50
  4. Step 4: Simplify right side
    344,094.75x = 507,487,401,542.25
  5. Step 5: Solve for x
    x = 507,487,401,542.25/344,094.75
  6. Step 6: Final answer
    x = 1,474,847.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.