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Finding the Third Proportional to 341,006 and 496,516

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Solution

The third proportional to 341,006 and 496,516 is: 722,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,006 : 496,516 = 496,516 : x
  2. Step 2: Convert to fraction form
    341,006/496,516 = 496,516/x
  3. Step 3: Cross multiply
    341,006x = 496,516 × 496,516
  4. Step 4: Simplify right side
    341,006x = 246,528,138,256
  5. Step 5: Solve for x
    x = 246,528,138,256/341,006
  6. Step 6: Final answer
    x = 722,943.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.