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Finding the Third Proportional to 361,285 and 744,437

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Solution

The third proportional to 361,285 and 744,437 is: 1,533,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,285 : 744,437 = 744,437 : x
  2. Step 2: Convert to fraction form
    361,285/744,437 = 744,437/x
  3. Step 3: Cross multiply
    361,285x = 744,437 × 744,437
  4. Step 4: Simplify right side
    361,285x = 554,186,446,969
  5. Step 5: Solve for x
    x = 554,186,446,969/361,285
  6. Step 6: Final answer
    x = 1,533,931.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.