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Finding the Third Proportional to 282,566 and 611,020

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Solution

The third proportional to 282,566 and 611,020 is: 1,321,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,566 : 611,020 = 611,020 : x
  2. Step 2: Convert to fraction form
    282,566/611,020 = 611,020/x
  3. Step 3: Cross multiply
    282,566x = 611,020 × 611,020
  4. Step 4: Simplify right side
    282,566x = 373,345,440,400
  5. Step 5: Solve for x
    x = 373,345,440,400/282,566
  6. Step 6: Final answer
    x = 1,321,268.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.