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Finding the Third Proportional to 353,747.25 and 500,053.50

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Solution

The third proportional to 353,747.25 and 500,053.50 is: 706,870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,747.25 : 500,053.50 = 500,053.50 : x
  2. Step 2: Convert to fraction form
    353,747.25/500,053.50 = 500,053.50/x
  3. Step 3: Cross multiply
    353,747.25x = 500,053.50 × 500,053.50
  4. Step 4: Simplify right side
    353,747.25x = 250,053,502,862.25
  5. Step 5: Solve for x
    x = 250,053,502,862.25/353,747.25
  6. Step 6: Final answer
    x = 706,870.52

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.