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Finding the Third Proportional to 528,814.50 and 794,391.75

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Solution

The third proportional to 528,814.50 and 794,391.75 is: 1,193,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,814.50 : 794,391.75 = 794,391.75 : x
  2. Step 2: Convert to fraction form
    528,814.50/794,391.75 = 794,391.75/x
  3. Step 3: Cross multiply
    528,814.50x = 794,391.75 × 794,391.75
  4. Step 4: Simplify right side
    528,814.50x = 631,058,252,468.06
  5. Step 5: Solve for x
    x = 631,058,252,468.06/528,814.50
  6. Step 6: Final answer
    x = 1,193,345.21

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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.