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Finding the Third Proportional to 385,920 and 593,856

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Solution

The third proportional to 385,920 and 593,856 is: 913,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,920 : 593,856 = 593,856 : x
  2. Step 2: Convert to fraction form
    385,920/593,856 = 593,856/x
  3. Step 3: Cross multiply
    385,920x = 593,856 × 593,856
  4. Step 4: Simplify right side
    385,920x = 352,664,948,736
  5. Step 5: Solve for x
    x = 352,664,948,736/385,920
  6. Step 6: Final answer
    x = 913,829.16

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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.