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Finding the Third Proportional to 326,263 and 722,513

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Solution

The third proportional to 326,263 and 722,513 is: 1,600,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,263 : 722,513 = 722,513 : x
  2. Step 2: Convert to fraction form
    326,263/722,513 = 722,513/x
  3. Step 3: Cross multiply
    326,263x = 722,513 × 722,513
  4. Step 4: Simplify right side
    326,263x = 522,025,035,169
  5. Step 5: Solve for x
    x = 522,025,035,169/326,263
  6. Step 6: Final answer
    x = 1,600,012.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.