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Finding the Third Proportional to 385,341 and 593,016.75

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Solution

The third proportional to 385,341 and 593,016.75 is: 912,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,341 : 593,016.75 = 593,016.75 : x
  2. Step 2: Convert to fraction form
    385,341/593,016.75 = 593,016.75/x
  3. Step 3: Cross multiply
    385,341x = 593,016.75 × 593,016.75
  4. Step 4: Simplify right side
    385,341x = 351,668,865,780.56
  5. Step 5: Solve for x
    x = 351,668,865,780.56/385,341
  6. Step 6: Final answer
    x = 912,617.31

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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.