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Finding the Third Proportional to 563,427 and 844,969.50

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Solution

The third proportional to 563,427 and 844,969.50 is: 1,267,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,427 : 844,969.50 = 844,969.50 : x
  2. Step 2: Convert to fraction form
    563,427/844,969.50 = 844,969.50/x
  3. Step 3: Cross multiply
    563,427x = 844,969.50 × 844,969.50
  4. Step 4: Simplify right side
    563,427x = 713,973,455,930.25
  5. Step 5: Solve for x
    x = 713,973,455,930.25/563,427
  6. Step 6: Final answer
    x = 1,267,197.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.