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Finding the Third Proportional to 528,624.38 and 794,107.50

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Solution

The third proportional to 528,624.38 and 794,107.50 is: 1,192,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,624.38 : 794,107.50 = 794,107.50 : x
  2. Step 2: Convert to fraction form
    528,624.38/794,107.50 = 794,107.50/x
  3. Step 3: Cross multiply
    528,624.38x = 794,107.50 × 794,107.50
  4. Step 4: Simplify right side
    528,624.38x = 630,606,721,556.25
  5. Step 5: Solve for x
    x = 630,606,721,556.25/528,624.38
  6. Step 6: Final answer
    x = 1,192,920.25

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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.