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Finding the Third Proportional to 385,628 and 593,102

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Solution

The third proportional to 385,628 and 593,102 is: 912,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,628 : 593,102 = 593,102 : x
  2. Step 2: Convert to fraction form
    385,628/593,102 = 593,102/x
  3. Step 3: Cross multiply
    385,628x = 593,102 × 593,102
  4. Step 4: Simplify right side
    385,628x = 351,769,982,404
  5. Step 5: Solve for x
    x = 351,769,982,404/385,628
  6. Step 6: Final answer
    x = 912,200.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.