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Finding the Third Proportional to 467,064.50 and 1,005,762.75

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Solution

The third proportional to 467,064.50 and 1,005,762.75 is: 2,165,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,064.50 : 1,005,762.75 = 1,005,762.75 : x
  2. Step 2: Convert to fraction form
    467,064.50/1,005,762.75 = 1,005,762.75/x
  3. Step 3: Cross multiply
    467,064.50x = 1,005,762.75 × 1,005,762.75
  4. Step 4: Simplify right side
    467,064.50x = 1,011,558,709,287.56
  5. Step 5: Solve for x
    x = 1,011,558,709,287.56/467,064.50
  6. Step 6: Final answer
    x = 2,165,779.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.