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Finding the Third Proportional to 343,308.50 and 502,672.75

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Solution

The third proportional to 343,308.50 and 502,672.75 is: 736,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,308.50 : 502,672.75 = 502,672.75 : x
  2. Step 2: Convert to fraction form
    343,308.50/502,672.75 = 502,672.75/x
  3. Step 3: Cross multiply
    343,308.50x = 502,672.75 × 502,672.75
  4. Step 4: Simplify right side
    343,308.50x = 252,679,893,592.56
  5. Step 5: Solve for x
    x = 252,679,893,592.56/343,308.50
  6. Step 6: Final answer
    x = 736,014.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.