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Finding the Third Proportional to 264,061.97 and 570,218.06

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Solution

The third proportional to 264,061.97 and 570,218.06 is: 1,231,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,061.97 : 570,218.06 = 570,218.06 : x
  2. Step 2: Convert to fraction form
    264,061.97/570,218.06 = 570,218.06/x
  3. Step 3: Cross multiply
    264,061.97x = 570,218.06 × 570,218.06
  4. Step 4: Simplify right side
    264,061.97x = 325,148,638,801.25
  5. Step 5: Solve for x
    x = 325,148,638,801.25/264,061.97
  6. Step 6: Final answer
    x = 1,231,334.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.