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Finding the Third Proportional to 264,112 and 570,300

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Solution

The third proportional to 264,112 and 570,300 is: 1,231,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,112 : 570,300 = 570,300 : x
  2. Step 2: Convert to fraction form
    264,112/570,300 = 570,300/x
  3. Step 3: Cross multiply
    264,112x = 570,300 × 570,300
  4. Step 4: Simplify right side
    264,112x = 325,242,090,000
  5. Step 5: Solve for x
    x = 325,242,090,000/264,112
  6. Step 6: Final answer
    x = 1,231,455.18

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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.