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Finding the Third Proportional to 546,348 and 827,141

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Solution

The third proportional to 546,348 and 827,141 is: 1,252,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,348 : 827,141 = 827,141 : x
  2. Step 2: Convert to fraction form
    546,348/827,141 = 827,141/x
  3. Step 3: Cross multiply
    546,348x = 827,141 × 827,141
  4. Step 4: Simplify right side
    546,348x = 684,162,233,881
  5. Step 5: Solve for x
    x = 684,162,233,881/546,348
  6. Step 6: Final answer
    x = 1,252,246.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.