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Finding the Third Proportional to 563,855.75 and 814,673.75

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Solution

The third proportional to 563,855.75 and 814,673.75 is: 1,177,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,855.75 : 814,673.75 = 814,673.75 : x
  2. Step 2: Convert to fraction form
    563,855.75/814,673.75 = 814,673.75/x
  3. Step 3: Cross multiply
    563,855.75x = 814,673.75 × 814,673.75
  4. Step 4: Simplify right side
    563,855.75x = 663,693,318,939.06
  5. Step 5: Solve for x
    x = 663,693,318,939.06/563,855.75
  6. Step 6: Final answer
    x = 1,177,062.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.