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Finding the Third Proportional to 564,075 and 850,891.50

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Solution

The third proportional to 564,075 and 850,891.50 is: 1,283,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,075 : 850,891.50 = 850,891.50 : x
  2. Step 2: Convert to fraction form
    564,075/850,891.50 = 850,891.50/x
  3. Step 3: Cross multiply
    564,075x = 850,891.50 × 850,891.50
  4. Step 4: Simplify right side
    564,075x = 724,016,344,772.25
  5. Step 5: Solve for x
    x = 724,016,344,772.25/564,075
  6. Step 6: Final answer
    x = 1,283,546.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.