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Finding the Third Proportional to 364,084 and 757,240

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Solution

The third proportional to 364,084 and 757,240 is: 1,574,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,084 : 757,240 = 757,240 : x
  2. Step 2: Convert to fraction form
    364,084/757,240 = 757,240/x
  3. Step 3: Cross multiply
    364,084x = 757,240 × 757,240
  4. Step 4: Simplify right side
    364,084x = 573,412,417,600
  5. Step 5: Solve for x
    x = 573,412,417,600/364,084
  6. Step 6: Final answer
    x = 1,574,945.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.