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Finding the Third Proportional to 546,952.50 and 827,973

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Solution

The third proportional to 546,952.50 and 827,973 is: 1,253,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,952.50 : 827,973 = 827,973 : x
  2. Step 2: Convert to fraction form
    546,952.50/827,973 = 827,973/x
  3. Step 3: Cross multiply
    546,952.50x = 827,973 × 827,973
  4. Step 4: Simplify right side
    546,952.50x = 685,539,288,729
  5. Step 5: Solve for x
    x = 685,539,288,729/546,952.50
  6. Step 6: Final answer
    x = 1,253,379.93

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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.