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Finding the Third Proportional to 291,834 and 450,697.50

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Solution

The third proportional to 291,834 and 450,697.50 is: 696,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,834 : 450,697.50 = 450,697.50 : x
  2. Step 2: Convert to fraction form
    291,834/450,697.50 = 450,697.50/x
  3. Step 3: Cross multiply
    291,834x = 450,697.50 × 450,697.50
  4. Step 4: Simplify right side
    291,834x = 203,128,236,506.25
  5. Step 5: Solve for x
    x = 203,128,236,506.25/291,834
  6. Step 6: Final answer
    x = 696,040.34

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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.