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Finding the Third Proportional to 326,736 and 716,346

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Solution

The third proportional to 326,736 and 716,346 is: 1,570,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,736 : 716,346 = 716,346 : x
  2. Step 2: Convert to fraction form
    326,736/716,346 = 716,346/x
  3. Step 3: Cross multiply
    326,736x = 716,346 × 716,346
  4. Step 4: Simplify right side
    326,736x = 513,151,591,716
  5. Step 5: Solve for x
    x = 513,151,591,716/326,736
  6. Step 6: Final answer
    x = 1,570,538.88

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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.