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Finding the Third Proportional to 261,432 and 570,836.25

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Solution

The third proportional to 261,432 and 570,836.25 is: 1,246,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,432 : 570,836.25 = 570,836.25 : x
  2. Step 2: Convert to fraction form
    261,432/570,836.25 = 570,836.25/x
  3. Step 3: Cross multiply
    261,432x = 570,836.25 × 570,836.25
  4. Step 4: Simplify right side
    261,432x = 325,854,024,314.06
  5. Step 5: Solve for x
    x = 325,854,024,314.06/261,432
  6. Step 6: Final answer
    x = 1,246,419.81

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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.