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Finding the Third Proportional to 469,975.50 and 684,861.75

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Solution

The third proportional to 469,975.50 and 684,861.75 is: 998,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,975.50 : 684,861.75 = 684,861.75 : x
  2. Step 2: Convert to fraction form
    469,975.50/684,861.75 = 684,861.75/x
  3. Step 3: Cross multiply
    469,975.50x = 684,861.75 × 684,861.75
  4. Step 4: Simplify right side
    469,975.50x = 469,035,616,613.06
  5. Step 5: Solve for x
    x = 469,035,616,613.06/469,975.50
  6. Step 6: Final answer
    x = 998,000.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.