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Finding the Third Proportional to 372,852 and 581,364

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Solution

The third proportional to 372,852 and 581,364 is: 906,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,852 : 581,364 = 581,364 : x
  2. Step 2: Convert to fraction form
    372,852/581,364 = 581,364/x
  3. Step 3: Cross multiply
    372,852x = 581,364 × 581,364
  4. Step 4: Simplify right side
    372,852x = 337,984,100,496
  5. Step 5: Solve for x
    x = 337,984,100,496/372,852
  6. Step 6: Final answer
    x = 906,483.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.