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Finding the Third Proportional to 194,522 and 457,985

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Solution

The third proportional to 194,522 and 457,985 is: 1,078,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,522 : 457,985 = 457,985 : x
  2. Step 2: Convert to fraction form
    194,522/457,985 = 457,985/x
  3. Step 3: Cross multiply
    194,522x = 457,985 × 457,985
  4. Step 4: Simplify right side
    194,522x = 209,750,260,225
  5. Step 5: Solve for x
    x = 209,750,260,225/194,522
  6. Step 6: Final answer
    x = 1,078,285.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.