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Finding the Third Proportional to 413,968 and 894,368

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Solution

The third proportional to 413,968 and 894,368 is: 1,932,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,968 : 894,368 = 894,368 : x
  2. Step 2: Convert to fraction form
    413,968/894,368 = 894,368/x
  3. Step 3: Cross multiply
    413,968x = 894,368 × 894,368
  4. Step 4: Simplify right side
    413,968x = 799,894,119,424
  5. Step 5: Solve for x
    x = 799,894,119,424/413,968
  6. Step 6: Final answer
    x = 1,932,260.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.