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Finding the Third Proportional to 546,337 and 827,122.50

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Solution

The third proportional to 546,337 and 827,122.50 is: 1,252,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,337 : 827,122.50 = 827,122.50 : x
  2. Step 2: Convert to fraction form
    546,337/827,122.50 = 827,122.50/x
  3. Step 3: Cross multiply
    546,337x = 827,122.50 × 827,122.50
  4. Step 4: Simplify right side
    546,337x = 684,131,630,006.25
  5. Step 5: Solve for x
    x = 684,131,630,006.25/546,337
  6. Step 6: Final answer
    x = 1,252,215.45

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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.