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Finding the Third Proportional to 369,403.50 and 561,553.50

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Solution

The third proportional to 369,403.50 and 561,553.50 is: 853,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,403.50 : 561,553.50 = 561,553.50 : x
  2. Step 2: Convert to fraction form
    369,403.50/561,553.50 = 561,553.50/x
  3. Step 3: Cross multiply
    369,403.50x = 561,553.50 × 561,553.50
  4. Step 4: Simplify right side
    369,403.50x = 315,342,333,362.25
  5. Step 5: Solve for x
    x = 315,342,333,362.25/369,403.50
  6. Step 6: Final answer
    x = 853,652.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.