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Finding the Third Proportional to 338,783.75 and 736,614.25

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Solution

The third proportional to 338,783.75 and 736,614.25 is: 1,601,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,783.75 : 736,614.25 = 736,614.25 : x
  2. Step 2: Convert to fraction form
    338,783.75/736,614.25 = 736,614.25/x
  3. Step 3: Cross multiply
    338,783.75x = 736,614.25 × 736,614.25
  4. Step 4: Simplify right side
    338,783.75x = 542,600,553,303.06
  5. Step 5: Solve for x
    x = 542,600,553,303.06/338,783.75
  6. Step 6: Final answer
    x = 1,601,613.28

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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.