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Finding the Third Proportional to 547,005 and 827,798

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Solution

The third proportional to 547,005 and 827,798 is: 1,252,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,005 : 827,798 = 827,798 : x
  2. Step 2: Convert to fraction form
    547,005/827,798 = 827,798/x
  3. Step 3: Cross multiply
    547,005x = 827,798 × 827,798
  4. Step 4: Simplify right side
    547,005x = 685,249,528,804
  5. Step 5: Solve for x
    x = 685,249,528,804/547,005
  6. Step 6: Final answer
    x = 1,252,729.92

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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.