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Finding the Third Proportional to 429,806.25 and 934,240.08

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Solution

The third proportional to 429,806.25 and 934,240.08 is: 2,030,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,806.25 : 934,240.08 = 934,240.08 : x
  2. Step 2: Convert to fraction form
    429,806.25/934,240.08 = 934,240.08/x
  3. Step 3: Cross multiply
    429,806.25x = 934,240.08 × 934,240.08
  4. Step 4: Simplify right side
    429,806.25x = 872,804,523,575.01
  5. Step 5: Solve for x
    x = 872,804,523,575.01/429,806.25
  6. Step 6: Final answer
    x = 2,030,692.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.