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Finding the Third Proportional to 338,858 and 736,732

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Solution

The third proportional to 338,858 and 736,732 is: 1,601,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,858 : 736,732 = 736,732 : x
  2. Step 2: Convert to fraction form
    338,858/736,732 = 736,732/x
  3. Step 3: Cross multiply
    338,858x = 736,732 × 736,732
  4. Step 4: Simplify right side
    338,858x = 542,774,039,824
  5. Step 5: Solve for x
    x = 542,774,039,824/338,858
  6. Step 6: Final answer
    x = 1,601,774.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.