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Finding the Third Proportional to 388,362.75 and 524,703

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Solution

The third proportional to 388,362.75 and 524,703 is: 708,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,362.75 : 524,703 = 524,703 : x
  2. Step 2: Convert to fraction form
    388,362.75/524,703 = 524,703/x
  3. Step 3: Cross multiply
    388,362.75x = 524,703 × 524,703
  4. Step 4: Simplify right side
    388,362.75x = 275,313,238,209
  5. Step 5: Solve for x
    x = 275,313,238,209/388,362.75
  6. Step 6: Final answer
    x = 708,907.43

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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.