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Finding the Third Proportional to 261,054 and 570,042

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Solution

The third proportional to 261,054 and 570,042 is: 1,244,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,054 : 570,042 = 570,042 : x
  2. Step 2: Convert to fraction form
    261,054/570,042 = 570,042/x
  3. Step 3: Cross multiply
    261,054x = 570,042 × 570,042
  4. Step 4: Simplify right side
    261,054x = 324,947,881,764
  5. Step 5: Solve for x
    x = 324,947,881,764/261,054
  6. Step 6: Final answer
    x = 1,244,753.51

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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.