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Finding the Third Proportional to 323,603.50 and 704,022

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Solution

The third proportional to 323,603.50 and 704,022 is: 1,531,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,603.50 : 704,022 = 704,022 : x
  2. Step 2: Convert to fraction form
    323,603.50/704,022 = 704,022/x
  3. Step 3: Cross multiply
    323,603.50x = 704,022 × 704,022
  4. Step 4: Simplify right side
    323,603.50x = 495,646,976,484
  5. Step 5: Solve for x
    x = 495,646,976,484/323,603.50
  6. Step 6: Final answer
    x = 1,531,649.00

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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.