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Finding the Third Proportional to 385,922 and 596,385

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Solution

The third proportional to 385,922 and 596,385 is: 921,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,922 : 596,385 = 596,385 : x
  2. Step 2: Convert to fraction form
    385,922/596,385 = 596,385/x
  3. Step 3: Cross multiply
    385,922x = 596,385 × 596,385
  4. Step 4: Simplify right side
    385,922x = 355,675,068,225
  5. Step 5: Solve for x
    x = 355,675,068,225/385,922
  6. Step 6: Final answer
    x = 921,624.24

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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.