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Finding the Third Proportional to 370,544 and 754,210

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Solution

The third proportional to 370,544 and 754,210 is: 1,535,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,544 : 754,210 = 754,210 : x
  2. Step 2: Convert to fraction form
    370,544/754,210 = 754,210/x
  3. Step 3: Cross multiply
    370,544x = 754,210 × 754,210
  4. Step 4: Simplify right side
    370,544x = 568,832,724,100
  5. Step 5: Solve for x
    x = 568,832,724,100/370,544
  6. Step 6: Final answer
    x = 1,535,128.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.