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Finding the Third Proportional to 326,944.69 and 716,963.06

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Solution

The third proportional to 326,944.69 and 716,963.06 is: 1,572,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,944.69 : 716,963.06 = 716,963.06 : x
  2. Step 2: Convert to fraction form
    326,944.69/716,963.06 = 716,963.06/x
  3. Step 3: Cross multiply
    326,944.69x = 716,963.06 × 716,963.06
  4. Step 4: Simplify right side
    326,944.69x = 514,036,032,989.38
  5. Step 5: Solve for x
    x = 514,036,032,989.38/326,944.69
  6. Step 6: Final answer
    x = 1,572,241.58

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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.