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Finding the Third Proportional to 427,411.50 and 664,431

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Solution

The third proportional to 427,411.50 and 664,431 is: 1,032,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,411.50 : 664,431 = 664,431 : x
  2. Step 2: Convert to fraction form
    427,411.50/664,431 = 664,431/x
  3. Step 3: Cross multiply
    427,411.50x = 664,431 × 664,431
  4. Step 4: Simplify right side
    427,411.50x = 441,468,553,761
  5. Step 5: Solve for x
    x = 441,468,553,761/427,411.50
  6. Step 6: Final answer
    x = 1,032,888.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.