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Finding the Third Proportional to 403,816.50 and 849,462.75

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Solution

The third proportional to 403,816.50 and 849,462.75 is: 1,786,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,816.50 : 849,462.75 = 849,462.75 : x
  2. Step 2: Convert to fraction form
    403,816.50/849,462.75 = 849,462.75/x
  3. Step 3: Cross multiply
    403,816.50x = 849,462.75 × 849,462.75
  4. Step 4: Simplify right side
    403,816.50x = 721,586,963,637.56
  5. Step 5: Solve for x
    x = 721,586,963,637.56/403,816.50
  6. Step 6: Final answer
    x = 1,786,917.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.