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Finding the Third Proportional to 516,133.50 and 1,214,502

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Solution

The third proportional to 516,133.50 and 1,214,502 is: 2,857,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,133.50 : 1,214,502 = 1,214,502 : x
  2. Step 2: Convert to fraction form
    516,133.50/1,214,502 = 1,214,502/x
  3. Step 3: Cross multiply
    516,133.50x = 1,214,502 × 1,214,502
  4. Step 4: Simplify right side
    516,133.50x = 1,475,015,108,004
  5. Step 5: Solve for x
    x = 1,475,015,108,004/516,133.50
  6. Step 6: Final answer
    x = 2,857,817.03

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.