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Finding the Third Proportional to 379,196 and 805,048

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Solution

The third proportional to 379,196 and 805,048 is: 1,709,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,196 : 805,048 = 805,048 : x
  2. Step 2: Convert to fraction form
    379,196/805,048 = 805,048/x
  3. Step 3: Cross multiply
    379,196x = 805,048 × 805,048
  4. Step 4: Simplify right side
    379,196x = 648,102,282,304
  5. Step 5: Solve for x
    x = 648,102,282,304/379,196
  6. Step 6: Final answer
    x = 1,709,148.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.