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Finding the Third Proportional to 531,048.66 and 800,981.16

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Solution

The third proportional to 531,048.66 and 800,981.16 is: 1,208,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,048.66 : 800,981.16 = 800,981.16 : x
  2. Step 2: Convert to fraction form
    531,048.66/800,981.16 = 800,981.16/x
  3. Step 3: Cross multiply
    531,048.66x = 800,981.16 × 800,981.16
  4. Step 4: Simplify right side
    531,048.66x = 641,570,812,667.59
  5. Step 5: Solve for x
    x = 641,570,812,667.59/531,048.66
  6. Step 6: Final answer
    x = 1,208,120.58

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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.