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Finding the Third Proportional to 206,955 and 457,528.50

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Solution

The third proportional to 206,955 and 457,528.50 is: 1,011,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,955 : 457,528.50 = 457,528.50 : x
  2. Step 2: Convert to fraction form
    206,955/457,528.50 = 457,528.50/x
  3. Step 3: Cross multiply
    206,955x = 457,528.50 × 457,528.50
  4. Step 4: Simplify right side
    206,955x = 209,332,328,312.25
  5. Step 5: Solve for x
    x = 209,332,328,312.25/206,955
  6. Step 6: Final answer
    x = 1,011,487.18

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.