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Finding the Third Proportional to 580,438 and 879,435.50

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Solution

The third proportional to 580,438 and 879,435.50 is: 1,332,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,438 : 879,435.50 = 879,435.50 : x
  2. Step 2: Convert to fraction form
    580,438/879,435.50 = 879,435.50/x
  3. Step 3: Cross multiply
    580,438x = 879,435.50 × 879,435.50
  4. Step 4: Simplify right side
    580,438x = 773,406,798,660.25
  5. Step 5: Solve for x
    x = 773,406,798,660.25/580,438
  6. Step 6: Final answer
    x = 1,332,453.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.