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Finding the Third Proportional to 216,570.38 and 521,743.50

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Solution

The third proportional to 216,570.38 and 521,743.50 is: 1,256,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,570.38 : 521,743.50 = 521,743.50 : x
  2. Step 2: Convert to fraction form
    216,570.38/521,743.50 = 521,743.50/x
  3. Step 3: Cross multiply
    216,570.38x = 521,743.50 × 521,743.50
  4. Step 4: Simplify right side
    216,570.38x = 272,216,279,792.25
  5. Step 5: Solve for x
    x = 272,216,279,792.25/216,570.38
  6. Step 6: Final answer
    x = 1,256,941.44

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.