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Finding the Third Proportional to 497,107.50 and 760,105.50

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Solution

The third proportional to 497,107.50 and 760,105.50 is: 1,162,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,107.50 : 760,105.50 = 760,105.50 : x
  2. Step 2: Convert to fraction form
    497,107.50/760,105.50 = 760,105.50/x
  3. Step 3: Cross multiply
    497,107.50x = 760,105.50 × 760,105.50
  4. Step 4: Simplify right side
    497,107.50x = 577,760,371,130.25
  5. Step 5: Solve for x
    x = 577,760,371,130.25/497,107.50
  6. Step 6: Final answer
    x = 1,162,244.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.