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Finding the Third Proportional to 338,944 and 736,910

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Solution

The third proportional to 338,944 and 736,910 is: 1,602,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,944 : 736,910 = 736,910 : x
  2. Step 2: Convert to fraction form
    338,944/736,910 = 736,910/x
  3. Step 3: Cross multiply
    338,944x = 736,910 × 736,910
  4. Step 4: Simplify right side
    338,944x = 543,036,348,100
  5. Step 5: Solve for x
    x = 543,036,348,100/338,944
  6. Step 6: Final answer
    x = 1,602,141.79

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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.