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Finding the Third Proportional to 291,373.50 and 450,000

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Solution

The third proportional to 291,373.50 and 450,000 is: 694,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,373.50 : 450,000 = 450,000 : x
  2. Step 2: Convert to fraction form
    291,373.50/450,000 = 450,000/x
  3. Step 3: Cross multiply
    291,373.50x = 450,000 × 450,000
  4. Step 4: Simplify right side
    291,373.50x = 202,500,000,000
  5. Step 5: Solve for x
    x = 202,500,000,000/291,373.50
  6. Step 6: Final answer
    x = 694,984.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.