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Finding the Third Proportional to 388,388.25 and 524,741.63

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Solution

The third proportional to 388,388.25 and 524,741.63 is: 708,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,388.25 : 524,741.63 = 524,741.63 : x
  2. Step 2: Convert to fraction form
    388,388.25/524,741.63 = 524,741.63/x
  3. Step 3: Cross multiply
    388,388.25x = 524,741.63 × 524,741.63
  4. Step 4: Simplify right side
    388,388.25x = 275,353,773,007.64
  5. Step 5: Solve for x
    x = 275,353,773,007.64/388,388.25
  6. Step 6: Final answer
    x = 708,965.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.