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Finding the Third Proportional to 425,813.25 and 927,226.50

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Solution

The third proportional to 425,813.25 and 927,226.50 is: 2,019,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,813.25 : 927,226.50 = 927,226.50 : x
  2. Step 2: Convert to fraction form
    425,813.25/927,226.50 = 927,226.50/x
  3. Step 3: Cross multiply
    425,813.25x = 927,226.50 × 927,226.50
  4. Step 4: Simplify right side
    425,813.25x = 859,748,982,302.25
  5. Step 5: Solve for x
    x = 859,748,982,302.25/425,813.25
  6. Step 6: Final answer
    x = 2,019,075.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.