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Finding the Third Proportional to 264,051 and 570,190

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Solution

The third proportional to 264,051 and 570,190 is: 1,231,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,051 : 570,190 = 570,190 : x
  2. Step 2: Convert to fraction form
    264,051/570,190 = 570,190/x
  3. Step 3: Cross multiply
    264,051x = 570,190 × 570,190
  4. Step 4: Simplify right side
    264,051x = 325,116,636,100
  5. Step 5: Solve for x
    x = 325,116,636,100/264,051
  6. Step 6: Final answer
    x = 1,231,264.55

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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.