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Finding the Third Proportional to 380,186 and 531,528

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Solution

The third proportional to 380,186 and 531,528 is: 743,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,186 : 531,528 = 531,528 : x
  2. Step 2: Convert to fraction form
    380,186/531,528 = 531,528/x
  3. Step 3: Cross multiply
    380,186x = 531,528 × 531,528
  4. Step 4: Simplify right side
    380,186x = 282,522,014,784
  5. Step 5: Solve for x
    x = 282,522,014,784/380,186
  6. Step 6: Final answer
    x = 743,115.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.