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Finding the Third Proportional to 380,374 and 531,747

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Solution

The third proportional to 380,374 and 531,747 is: 743,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,374 : 531,747 = 531,747 : x
  2. Step 2: Convert to fraction form
    380,374/531,747 = 531,747/x
  3. Step 3: Cross multiply
    380,374x = 531,747 × 531,747
  4. Step 4: Simplify right side
    380,374x = 282,754,872,009
  5. Step 5: Solve for x
    x = 282,754,872,009/380,374
  6. Step 6: Final answer
    x = 743,360.15

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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.