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Finding the Third Proportional to 261,030 and 569,997

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Solution

The third proportional to 261,030 and 569,997 is: 1,244,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,030 : 569,997 = 569,997 : x
  2. Step 2: Convert to fraction form
    261,030/569,997 = 569,997/x
  3. Step 3: Cross multiply
    261,030x = 569,997 × 569,997
  4. Step 4: Simplify right side
    261,030x = 324,896,580,009
  5. Step 5: Solve for x
    x = 324,896,580,009/261,030
  6. Step 6: Final answer
    x = 1,244,671.42

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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.