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Finding the Third Proportional to 261,014 and 569,965.50

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Solution

The third proportional to 261,014 and 569,965.50 is: 1,244,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,014 : 569,965.50 = 569,965.50 : x
  2. Step 2: Convert to fraction form
    261,014/569,965.50 = 569,965.50/x
  3. Step 3: Cross multiply
    261,014x = 569,965.50 × 569,965.50
  4. Step 4: Simplify right side
    261,014x = 324,860,671,190.25
  5. Step 5: Solve for x
    x = 324,860,671,190.25/261,014
  6. Step 6: Final answer
    x = 1,244,610.14

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