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Finding the Third Proportional to 384,092 and 553,260

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Solution

The third proportional to 384,092 and 553,260 is: 796,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,092 : 553,260 = 553,260 : x
  2. Step 2: Convert to fraction form
    384,092/553,260 = 553,260/x
  3. Step 3: Cross multiply
    384,092x = 553,260 × 553,260
  4. Step 4: Simplify right side
    384,092x = 306,096,627,600
  5. Step 5: Solve for x
    x = 306,096,627,600/384,092
  6. Step 6: Final answer
    x = 796,935.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.