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Finding the Third Proportional to 525,730.50 and 749,229.75

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Solution

The third proportional to 525,730.50 and 749,229.75 is: 1,067,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,730.50 : 749,229.75 = 749,229.75 : x
  2. Step 2: Convert to fraction form
    525,730.50/749,229.75 = 749,229.75/x
  3. Step 3: Cross multiply
    525,730.50x = 749,229.75 × 749,229.75
  4. Step 4: Simplify right side
    525,730.50x = 561,345,218,285.06
  5. Step 5: Solve for x
    x = 561,345,218,285.06/525,730.50
  6. Step 6: Final answer
    x = 1,067,743.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.