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Finding the Third Proportional to 415,541.25 and 896,692.50

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Solution

The third proportional to 415,541.25 and 896,692.50 is: 1,934,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,541.25 : 896,692.50 = 896,692.50 : x
  2. Step 2: Convert to fraction form
    415,541.25/896,692.50 = 896,692.50/x
  3. Step 3: Cross multiply
    415,541.25x = 896,692.50 × 896,692.50
  4. Step 4: Simplify right side
    415,541.25x = 804,057,439,556.25
  5. Step 5: Solve for x
    x = 804,057,439,556.25/415,541.25
  6. Step 6: Final answer
    x = 1,934,964.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.