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Finding the Third Proportional to 484,369 and 746,992

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Solution

The third proportional to 484,369 and 746,992 is: 1,152,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,369 : 746,992 = 746,992 : x
  2. Step 2: Convert to fraction form
    484,369/746,992 = 746,992/x
  3. Step 3: Cross multiply
    484,369x = 746,992 × 746,992
  4. Step 4: Simplify right side
    484,369x = 557,997,048,064
  5. Step 5: Solve for x
    x = 557,997,048,064/484,369
  6. Step 6: Final answer
    x = 1,152,008.18

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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.