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Finding the Third Proportional to 332,923.50 and 521,707.50

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Solution

The third proportional to 332,923.50 and 521,707.50 is: 817,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,923.50 : 521,707.50 = 521,707.50 : x
  2. Step 2: Convert to fraction form
    332,923.50/521,707.50 = 521,707.50/x
  3. Step 3: Cross multiply
    332,923.50x = 521,707.50 × 521,707.50
  4. Step 4: Simplify right side
    332,923.50x = 272,178,715,556.25
  5. Step 5: Solve for x
    x = 272,178,715,556.25/332,923.50
  6. Step 6: Final answer
    x = 817,541.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.