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Finding the Third Proportional to 261,028 and 569,994

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Solution

The third proportional to 261,028 and 569,994 is: 1,244,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,028 : 569,994 = 569,994 : x
  2. Step 2: Convert to fraction form
    261,028/569,994 = 569,994/x
  3. Step 3: Cross multiply
    261,028x = 569,994 × 569,994
  4. Step 4: Simplify right side
    261,028x = 324,893,160,036
  5. Step 5: Solve for x
    x = 324,893,160,036/261,028
  6. Step 6: Final answer
    x = 1,244,667.85

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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.