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Finding the Third Proportional to 326,758.50 and 716,400

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Solution

The third proportional to 326,758.50 and 716,400 is: 1,570,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,758.50 : 716,400 = 716,400 : x
  2. Step 2: Convert to fraction form
    326,758.50/716,400 = 716,400/x
  3. Step 3: Cross multiply
    326,758.50x = 716,400 × 716,400
  4. Step 4: Simplify right side
    326,758.50x = 513,228,960,000
  5. Step 5: Solve for x
    x = 513,228,960,000/326,758.50
  6. Step 6: Final answer
    x = 1,570,667.51

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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.