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Finding the Third Proportional to 467,967 and 724,000.50

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Solution

The third proportional to 467,967 and 724,000.50 is: 1,120,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,967 : 724,000.50 = 724,000.50 : x
  2. Step 2: Convert to fraction form
    467,967/724,000.50 = 724,000.50/x
  3. Step 3: Cross multiply
    467,967x = 724,000.50 × 724,000.50
  4. Step 4: Simplify right side
    467,967x = 524,176,724,000.25
  5. Step 5: Solve for x
    x = 524,176,724,000.25/467,967
  6. Step 6: Final answer
    x = 1,120,114.72

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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.