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Finding the Third Proportional to 373,212 and 805,368

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Solution

The third proportional to 373,212 and 805,368 is: 1,737,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,212 : 805,368 = 805,368 : x
  2. Step 2: Convert to fraction form
    373,212/805,368 = 805,368/x
  3. Step 3: Cross multiply
    373,212x = 805,368 × 805,368
  4. Step 4: Simplify right side
    373,212x = 648,617,615,424
  5. Step 5: Solve for x
    x = 648,617,615,424/373,212
  6. Step 6: Final answer
    x = 1,737,933.44

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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.