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Finding the Third Proportional to 563,858.50 and 814,677.50

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Solution

The third proportional to 563,858.50 and 814,677.50 is: 1,177,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,858.50 : 814,677.50 = 814,677.50 : x
  2. Step 2: Convert to fraction form
    563,858.50/814,677.50 = 814,677.50/x
  3. Step 3: Cross multiply
    563,858.50x = 814,677.50 × 814,677.50
  4. Step 4: Simplify right side
    563,858.50x = 663,699,429,006.25
  5. Step 5: Solve for x
    x = 663,699,429,006.25/563,858.50
  6. Step 6: Final answer
    x = 1,177,067.35

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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.