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Finding the Third Proportional to 364,509 and 795,342

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Solution

The third proportional to 364,509 and 795,342 is: 1,735,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,509 : 795,342 = 795,342 : x
  2. Step 2: Convert to fraction form
    364,509/795,342 = 795,342/x
  3. Step 3: Cross multiply
    364,509x = 795,342 × 795,342
  4. Step 4: Simplify right side
    364,509x = 632,568,896,964
  5. Step 5: Solve for x
    x = 632,568,896,964/364,509
  6. Step 6: Final answer
    x = 1,735,399.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.