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Finding the Third Proportional to 281,343 and 610,746

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Solution

The third proportional to 281,343 and 610,746 is: 1,325,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,343 : 610,746 = 610,746 : x
  2. Step 2: Convert to fraction form
    281,343/610,746 = 610,746/x
  3. Step 3: Cross multiply
    281,343x = 610,746 × 610,746
  4. Step 4: Simplify right side
    281,343x = 373,010,676,516
  5. Step 5: Solve for x
    x = 373,010,676,516/281,343
  6. Step 6: Final answer
    x = 1,325,821.78

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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.