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Finding the Third Proportional to 264,009 and 409,000.50

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Solution

The third proportional to 264,009 and 409,000.50 is: 633,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,009 : 409,000.50 = 409,000.50 : x
  2. Step 2: Convert to fraction form
    264,009/409,000.50 = 409,000.50/x
  3. Step 3: Cross multiply
    264,009x = 409,000.50 × 409,000.50
  4. Step 4: Simplify right side
    264,009x = 167,281,409,000.25
  5. Step 5: Solve for x
    x = 167,281,409,000.25/264,009
  6. Step 6: Final answer
    x = 633,620.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.