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Finding the Third Proportional to 263,095 and 570,542

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Solution

The third proportional to 263,095 and 570,542 is: 1,237,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,095 : 570,542 = 570,542 : x
  2. Step 2: Convert to fraction form
    263,095/570,542 = 570,542/x
  3. Step 3: Cross multiply
    263,095x = 570,542 × 570,542
  4. Step 4: Simplify right side
    263,095x = 325,518,173,764
  5. Step 5: Solve for x
    x = 325,518,173,764/263,095
  6. Step 6: Final answer
    x = 1,237,264.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.