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Finding the Third Proportional to 546,996 and 827,784

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Solution

The third proportional to 546,996 and 827,784 is: 1,252,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,996 : 827,784 = 827,784 : x
  2. Step 2: Convert to fraction form
    546,996/827,784 = 827,784/x
  3. Step 3: Cross multiply
    546,996x = 827,784 × 827,784
  4. Step 4: Simplify right side
    546,996x = 685,226,350,656
  5. Step 5: Solve for x
    x = 685,226,350,656/546,996
  6. Step 6: Final answer
    x = 1,252,708.16

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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.