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Finding the Third Proportional to 377,472 and 528,832

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Solution

The third proportional to 377,472 and 528,832 is: 740,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,472 : 528,832 = 528,832 : x
  2. Step 2: Convert to fraction form
    377,472/528,832 = 528,832/x
  3. Step 3: Cross multiply
    377,472x = 528,832 × 528,832
  4. Step 4: Simplify right side
    377,472x = 279,663,284,224
  5. Step 5: Solve for x
    x = 279,663,284,224/377,472
  6. Step 6: Final answer
    x = 740,884.85

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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.