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Finding the Third Proportional to 339,934.50 and 500,505.75

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Solution

The third proportional to 339,934.50 and 500,505.75 is: 736,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,934.50 : 500,505.75 = 500,505.75 : x
  2. Step 2: Convert to fraction form
    339,934.50/500,505.75 = 500,505.75/x
  3. Step 3: Cross multiply
    339,934.50x = 500,505.75 × 500,505.75
  4. Step 4: Simplify right side
    339,934.50x = 250,506,005,783.06
  5. Step 5: Solve for x
    x = 250,506,005,783.06/339,934.50
  6. Step 6: Final answer
    x = 736,924.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.