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Finding the Third Proportional to 388,424 and 524,793

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Solution

The third proportional to 388,424 and 524,793 is: 709,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,424 : 524,793 = 524,793 : x
  2. Step 2: Convert to fraction form
    388,424/524,793 = 524,793/x
  3. Step 3: Cross multiply
    388,424x = 524,793 × 524,793
  4. Step 4: Simplify right side
    388,424x = 275,407,692,849
  5. Step 5: Solve for x
    x = 275,407,692,849/388,424
  6. Step 6: Final answer
    x = 709,038.82

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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.