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Finding the Third Proportional to 336,384 and 723,648

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Solution

The third proportional to 336,384 and 723,648 is: 1,556,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,384 : 723,648 = 723,648 : x
  2. Step 2: Convert to fraction form
    336,384/723,648 = 723,648/x
  3. Step 3: Cross multiply
    336,384x = 723,648 × 723,648
  4. Step 4: Simplify right side
    336,384x = 523,666,427,904
  5. Step 5: Solve for x
    x = 523,666,427,904/336,384
  6. Step 6: Final answer
    x = 1,556,751.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.