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Finding the Third Proportional to 576,126 and 890,176.50

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Solution

The third proportional to 576,126 and 890,176.50 is: 1,375,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,126 : 890,176.50 = 890,176.50 : x
  2. Step 2: Convert to fraction form
    576,126/890,176.50 = 890,176.50/x
  3. Step 3: Cross multiply
    576,126x = 890,176.50 × 890,176.50
  4. Step 4: Simplify right side
    576,126x = 792,414,201,152.25
  5. Step 5: Solve for x
    x = 792,414,201,152.25/576,126
  6. Step 6: Final answer
    x = 1,375,418.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.