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Finding the Third Proportional to 528,828.75 and 794,412.56

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Solution

The third proportional to 528,828.75 and 794,412.56 is: 1,193,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,828.75 : 794,412.56 = 794,412.56 : x
  2. Step 2: Convert to fraction form
    528,828.75/794,412.56 = 794,412.56/x
  3. Step 3: Cross multiply
    528,828.75x = 794,412.56 × 794,412.56
  4. Step 4: Simplify right side
    528,828.75x = 631,091,319,457.82
  5. Step 5: Solve for x
    x = 631,091,319,457.82/528,828.75
  6. Step 6: Final answer
    x = 1,193,375.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.