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Finding the Third Proportional to 385,884 and 596,322

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Solution

The third proportional to 385,884 and 596,322 is: 921,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,884 : 596,322 = 596,322 : x
  2. Step 2: Convert to fraction form
    385,884/596,322 = 596,322/x
  3. Step 3: Cross multiply
    385,884x = 596,322 × 596,322
  4. Step 4: Simplify right side
    385,884x = 355,599,927,684
  5. Step 5: Solve for x
    x = 355,599,927,684/385,884
  6. Step 6: Final answer
    x = 921,520.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.