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Finding the Third Proportional to 388,769 and 608,533

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Solution

The third proportional to 388,769 and 608,533 is: 952,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,769 : 608,533 = 608,533 : x
  2. Step 2: Convert to fraction form
    388,769/608,533 = 608,533/x
  3. Step 3: Cross multiply
    388,769x = 608,533 × 608,533
  4. Step 4: Simplify right side
    388,769x = 370,312,412,089
  5. Step 5: Solve for x
    x = 370,312,412,089/388,769
  6. Step 6: Final answer
    x = 952,525.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.