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Finding the Third Proportional to 323,614.50 and 704,043

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Solution

The third proportional to 323,614.50 and 704,043 is: 1,531,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,614.50 : 704,043 = 704,043 : x
  2. Step 2: Convert to fraction form
    323,614.50/704,043 = 704,043/x
  3. Step 3: Cross multiply
    323,614.50x = 704,043 × 704,043
  4. Step 4: Simplify right side
    323,614.50x = 495,676,545,849
  5. Step 5: Solve for x
    x = 495,676,545,849/323,614.50
  6. Step 6: Final answer
    x = 1,531,688.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.