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Finding the Third Proportional to 372,864 and 805,056

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Solution

The third proportional to 372,864 and 805,056 is: 1,738,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,864 : 805,056 = 805,056 : x
  2. Step 2: Convert to fraction form
    372,864/805,056 = 805,056/x
  3. Step 3: Cross multiply
    372,864x = 805,056 × 805,056
  4. Step 4: Simplify right side
    372,864x = 648,115,163,136
  5. Step 5: Solve for x
    x = 648,115,163,136/372,864
  6. Step 6: Final answer
    x = 1,738,207.93

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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.