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Finding the Third Proportional to 323,269 and 706,729

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Solution

The third proportional to 323,269 and 706,729 is: 1,545,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,269 : 706,729 = 706,729 : x
  2. Step 2: Convert to fraction form
    323,269/706,729 = 706,729/x
  3. Step 3: Cross multiply
    323,269x = 706,729 × 706,729
  4. Step 4: Simplify right side
    323,269x = 499,465,879,441
  5. Step 5: Solve for x
    x = 499,465,879,441/323,269
  6. Step 6: Final answer
    x = 1,545,047.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.