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Finding the Third Proportional to 275,550 and 562,746

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Solution

The third proportional to 275,550 and 562,746 is: 1,149,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,550 : 562,746 = 562,746 : x
  2. Step 2: Convert to fraction form
    275,550/562,746 = 562,746/x
  3. Step 3: Cross multiply
    275,550x = 562,746 × 562,746
  4. Step 4: Simplify right side
    275,550x = 316,683,060,516
  5. Step 5: Solve for x
    x = 316,683,060,516/275,550
  6. Step 6: Final answer
    x = 1,149,276.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.