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Finding the Third Proportional to 261,036 and 570,006

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Solution

The third proportional to 261,036 and 570,006 is: 1,244,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,036 : 570,006 = 570,006 : x
  2. Step 2: Convert to fraction form
    261,036/570,006 = 570,006/x
  3. Step 3: Cross multiply
    261,036x = 570,006 × 570,006
  4. Step 4: Simplify right side
    261,036x = 324,906,840,036
  5. Step 5: Solve for x
    x = 324,906,840,036/261,036
  6. Step 6: Final answer
    x = 1,244,682.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.