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Finding the Third Proportional to 388,425.50 and 524,795

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Solution

The third proportional to 388,425.50 and 524,795 is: 709,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,425.50 : 524,795 = 524,795 : x
  2. Step 2: Convert to fraction form
    388,425.50/524,795 = 524,795/x
  3. Step 3: Cross multiply
    388,425.50x = 524,795 × 524,795
  4. Step 4: Simplify right side
    388,425.50x = 275,409,792,025
  5. Step 5: Solve for x
    x = 275,409,792,025/388,425.50
  6. Step 6: Final answer
    x = 709,041.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.