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Finding the Third Proportional to 345,505.50 and 533,020.50

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Solution

The third proportional to 345,505.50 and 533,020.50 is: 822,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,505.50 : 533,020.50 = 533,020.50 : x
  2. Step 2: Convert to fraction form
    345,505.50/533,020.50 = 533,020.50/x
  3. Step 3: Cross multiply
    345,505.50x = 533,020.50 × 533,020.50
  4. Step 4: Simplify right side
    345,505.50x = 284,110,853,420.25
  5. Step 5: Solve for x
    x = 284,110,853,420.25/345,505.50
  6. Step 6: Final answer
    x = 822,304.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.