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Finding the Third Proportional to 388,410 and 524,772

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Solution

The third proportional to 388,410 and 524,772 is: 709,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,410 : 524,772 = 524,772 : x
  2. Step 2: Convert to fraction form
    388,410/524,772 = 524,772/x
  3. Step 3: Cross multiply
    388,410x = 524,772 × 524,772
  4. Step 4: Simplify right side
    388,410x = 275,385,651,984
  5. Step 5: Solve for x
    x = 275,385,651,984/388,410
  6. Step 6: Final answer
    x = 709,007.63

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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.