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Finding the Third Proportional to 375,969 and 811,864.50

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Solution

The third proportional to 375,969 and 811,864.50 is: 1,753,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,969 : 811,864.50 = 811,864.50 : x
  2. Step 2: Convert to fraction form
    375,969/811,864.50 = 811,864.50/x
  3. Step 3: Cross multiply
    375,969x = 811,864.50 × 811,864.50
  4. Step 4: Simplify right side
    375,969x = 659,123,966,360.25
  5. Step 5: Solve for x
    x = 659,123,966,360.25/375,969
  6. Step 6: Final answer
    x = 1,753,133.81

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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.