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Finding the Third Proportional to 174,528 and 388,544

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Solution

The third proportional to 174,528 and 388,544 is: 864,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,528 : 388,544 = 388,544 : x
  2. Step 2: Convert to fraction form
    174,528/388,544 = 388,544/x
  3. Step 3: Cross multiply
    174,528x = 388,544 × 388,544
  4. Step 4: Simplify right side
    174,528x = 150,966,439,936
  5. Step 5: Solve for x
    x = 150,966,439,936/174,528
  6. Step 6: Final answer
    x = 864,998.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.