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Finding the Third Proportional to 264,051 and 570,189

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Solution

The third proportional to 264,051 and 570,189 is: 1,231,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,051 : 570,189 = 570,189 : x
  2. Step 2: Convert to fraction form
    264,051/570,189 = 570,189/x
  3. Step 3: Cross multiply
    264,051x = 570,189 × 570,189
  4. Step 4: Simplify right side
    264,051x = 325,115,495,721
  5. Step 5: Solve for x
    x = 325,115,495,721/264,051
  6. Step 6: Final answer
    x = 1,231,260.23

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Why These Related Problems?

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