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Finding the Third Proportional to 326,926.13 and 716,941.13

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Solution

The third proportional to 326,926.13 and 716,941.13 is: 1,572,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,926.13 : 716,941.13 = 716,941.13 : x
  2. Step 2: Convert to fraction form
    326,926.13/716,941.13 = 716,941.13/x
  3. Step 3: Cross multiply
    326,926.13x = 716,941.13 × 716,941.13
  4. Step 4: Simplify right side
    326,926.13x = 514,004,576,716.27
  5. Step 5: Solve for x
    x = 514,004,576,716.27/326,926.13
  6. Step 6: Final answer
    x = 1,572,234.63

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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.