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Finding the Third Proportional to 340,944 and 529,368

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Solution

The third proportional to 340,944 and 529,368 is: 821,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,944 : 529,368 = 529,368 : x
  2. Step 2: Convert to fraction form
    340,944/529,368 = 529,368/x
  3. Step 3: Cross multiply
    340,944x = 529,368 × 529,368
  4. Step 4: Simplify right side
    340,944x = 280,230,479,424
  5. Step 5: Solve for x
    x = 280,230,479,424/340,944
  6. Step 6: Final answer
    x = 821,925.24

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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.