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Finding the Third Proportional to 795,376 and 1,196,358

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Solution

The third proportional to 795,376 and 1,196,358 is: 1,799,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,376 : 1,196,358 = 1,196,358 : x
  2. Step 2: Convert to fraction form
    795,376/1,196,358 = 1,196,358/x
  3. Step 3: Cross multiply
    795,376x = 1,196,358 × 1,196,358
  4. Step 4: Simplify right side
    795,376x = 1,431,272,464,164
  5. Step 5: Solve for x
    x = 1,431,272,464,164/795,376
  6. Step 6: Final answer
    x = 1,799,491.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.