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Finding the Third Proportional to 375,046.50 and 809,142

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Solution

The third proportional to 375,046.50 and 809,142 is: 1,745,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,046.50 : 809,142 = 809,142 : x
  2. Step 2: Convert to fraction form
    375,046.50/809,142 = 809,142/x
  3. Step 3: Cross multiply
    375,046.50x = 809,142 × 809,142
  4. Step 4: Simplify right side
    375,046.50x = 654,710,776,164
  5. Step 5: Solve for x
    x = 654,710,776,164/375,046.50
  6. Step 6: Final answer
    x = 1,745,678.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.