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Finding the Third Proportional to 366,940 and 554,106

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Solution

The third proportional to 366,940 and 554,106 is: 836,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,940 : 554,106 = 554,106 : x
  2. Step 2: Convert to fraction form
    366,940/554,106 = 554,106/x
  3. Step 3: Cross multiply
    366,940x = 554,106 × 554,106
  4. Step 4: Simplify right side
    366,940x = 307,033,459,236
  5. Step 5: Solve for x
    x = 307,033,459,236/366,940
  6. Step 6: Final answer
    x = 836,740.23

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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.