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Finding the Third Proportional to 372,384 and 803,808

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Solution

The third proportional to 372,384 and 803,808 is: 1,735,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,384 : 803,808 = 803,808 : x
  2. Step 2: Convert to fraction form
    372,384/803,808 = 803,808/x
  3. Step 3: Cross multiply
    372,384x = 803,808 × 803,808
  4. Step 4: Simplify right side
    372,384x = 646,107,300,864
  5. Step 5: Solve for x
    x = 646,107,300,864/372,384
  6. Step 6: Final answer
    x = 1,735,056.56

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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.