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Finding the Third Proportional to 546,324.75 and 603,490.50

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Solution

The third proportional to 546,324.75 and 603,490.50 is: 666,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,324.75 : 603,490.50 = 603,490.50 : x
  2. Step 2: Convert to fraction form
    546,324.75/603,490.50 = 603,490.50/x
  3. Step 3: Cross multiply
    546,324.75x = 603,490.50 × 603,490.50
  4. Step 4: Simplify right side
    546,324.75x = 364,200,783,590.25
  5. Step 5: Solve for x
    x = 364,200,783,590.25/546,324.75
  6. Step 6: Final answer
    x = 666,637.90

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.